MAKOTO ABE

Last Updated :2023/02/02

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor

Basic Information

Major Professional Backgrounds

  • 1983/04/01, 1985/03/31, Oshima National College of Maritime Technology, Division of General Education, Research Associate
  • 1985/04/01, 1994/03/31, Oshima National College of Maritime Technology, Division of General Education, Lecturer
  • 1994/04/01, 2001/09/30, Oshima National College of Maritime Technology, Division of General Education, Associate Professor
  • 2001/10/01, 2003/09/30, Kumamoto University, College of Medical Science, Associate Professor
  • 2003/10/01, 2007/03/31, Kumamoto University, School of Health Sciences, Associate Professor
  • 2007/04/01, 2009/12/31, Kumamoto University, School of Health Sciences, Associate Professor
  • 2010/01/01, 2011/02/28, Kumamoto University, Faculty of Life Sciences, Associate Professor
  • 2011/03/01, 2020/03/31, Hiroshima University, Graduate School of Science, Professor

Academic Degrees

  • Doctor of Philosophy, Kyushu University
  • Master of Science, Kyushu University
  • Bachelor of Science, Kyushu University

In Charge of Primary Major Programs

  • Integrated Arts and Sciences

Research Fields

  • Mathematical and physical sciences;Mathematics;Basic analysis
  • Mathematical and physical sciences;Mathematics;Geometry
  • Complex systems;Science education / Educational technology;Science education

Research Keywords

  • Complex Space
  • Stein Space
  • Meromorphic Convexity

Affiliated Academic Societies

Educational Activity

Course in Charge

  1. 2022, Liberal Arts Education Program1, 4Term, Basic Linear Algebra
  2. 2022, Liberal Arts Education Program1, 2Term, Linear AlgebraI
  3. 2022, Liberal Arts Education Program1, 3Term, Linear AlgebraII
  4. 2022, Liberal Arts Education Program1, 1Term, CalculusI
  5. 2022, Undergraduate Education, 4Term, Function Theory
  6. 2022, Undergraduate Education, 3Term, Seminar in Mathematics I
  7. 2022, Undergraduate Education, 4Term, Seminar in Mathematics II
  8. 2022, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
  9. 2022, Graduate Education (Master's Program) , Academic Year, Geometric and Algebraic Analysis Seminar
  10. 2022, Graduate Education (Master's Program) , Academic Year, Geometric and Algebraic Analysis Seminar
  11. 2022, Graduate Education (Master's Program) , 1Term, Geometric and Algebraic Analysis A
  12. 2022, Graduate Education (Master's Program) , 2Term, Geometric and Algebraic Analysis B
  13. 2022, Graduate Education (Master's Program) , 3Term, Geometric and Algebraic Analysis C
  14. 2022, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  15. 2022, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  16. 2022, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  17. 2022, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Boundary distance functions of Riemann domains over pre-Hilbert spaces, Complex Analysis and and Operator Theory, 16, Article number: 88, 2022
  2. A generalization of a theorem of Kuhnel on globally defined analytic sets, COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 66(11), 1937-1940, 2021
  3. A topological characterization of the strong disk property on open Riemann surfaces, Kodai Mathematical Journal, 42(3), 587-592, 201910
  4. A characterization of subpluriharmonicity for a function of several complex variables, Bulletin of the Graduate School of Integrated Arts and Sciences, Hiroshima Univ. II, Studies in Environmental Sciences, 14, 1-5, 201912
  5. Intermediate pseudoconvexity for unramified Riemann domains over C^n, Toyama Mathematical Journal, 40, 17-35, 2019
  6. Strong disk property for domains in open Riemann surfaces, Filomat, 30(7), 1711-1716, 2016
  7. Holomorphic line bundles and Cartier divisors on domains in a Stein orbifold with discrete singularities, Toyama Mathematical Journal, 36, 15-26, 2014
  8. On Oka's extra-zero problem and examples, Mathematische Zeitschrift, 275(1-2), 79-89, 2013
  9. Domains which satisfy the strong disk property in a Stein manifold, The Proceedings of the 13th Conference on Real and Complex Analysis in Hiroshima (2010), Higashi-Hiroshima, Japan, December 20-22, 2010 (Y. Mizuta, ed.), Hiroshima University, Higashi-Hiroshima, 1-4, 201103
  10. Open sets which satisfy the Oka-Grauert principle in a Stein space, Annali di Matematica Pura ed Applicata, Ser. 4, 190(4), 703-723, 201112
  11. Meromorphic approximation theorem with respect to a semigroup of holomorphicline bundles in a Stein space, Toyama Mathematical Journal, 32, 41-57, 2009
  12. A method for calculation of marks in scholastic evaluation, Transactions of Mathematical Education for College and University, 15(1), 89-96, 200808
  13. Meromorphic approximation in a Stein space, Function Spaces in Complex and Clifford Analysis, National University Publishers Hanoi, Hanoi, 100-105, 2008
  14. On the class file kumajm.cls for mathematical papers, Bulletin of Kumamoto University School of Health Sciences, 3, 123-136, 200703
  15. Holomorphic line bundles and divisors on a domain of a Stein manifold, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Ser. 5, 6(2), 323-330, 2007
  16. Polynomial convexity and strong disk property, Journal of Mathematical Analysis and Applications, 321(1), 32-36, 200609
  17. Open sets satisfying the strong meromorphic approximation property, Toyama Mathematical Journal, 29, 7-23, 2006
  18. Holomorphic line bundles on a domain of a Stein manifold, Proceedings of the Ninth Conference on Real and Complex Analysis in Hiroshima 2005, Higashi-Hiroshima, Japan, December 15-17, 2005 (E.G. Kwon, Y. Mizuta, and T. Sugawa, eds.), Hiroshima University, Higashi-Hiroshima, 1-8, 2006
  19. Meromorphic approximation theorem in a Stein space, Annali di Matematica Pura ed Applicata, Ser. 4, 184(2), 263-274, 200506
  20. A note on the meromorphic O(X)-convexity, Kumamoto Journal of Mathematics, 18, 17-23, 2005
  21. Analytic compactiications of C^2/Z_n, Proceedings of Hayama Symposium on Several Complex Variables 2004, Hayama, Japan, December 18-21, 2004 (Y. Nishimura, J. Noguchi, S. Takayama, and T. Ueda, eds.), University of Tokyo, Tokyo, 177-181, 2005
  22. Ramified coverings over a complete Kähler space, Archiv der Mathematik, 83(2), 154-158, 200408
  23. Holomorphic line bundles on a domain of a two-dimensional Stein manifold, Annales Polonici Mathematici, 83(3), 269-272, 2004
  24. Analytic compactifications of C^2/Z_n, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 74, 223-235, 2004
  25. Remarks on universal functions of O(C^∗), Hiroshima Mathematical Journal, 33(1), 27-30, 2003
  26. Montel domains and equicontinuity domains, Mathematics Journal of Toyama University, 26, 25-34, 2003
  27. On non-normal del Pezzo surfaces, Mathematische Nachrichten, 260(1), 3-13, 200311
  28. A method of solution of inhomogeneous linear differential equations of second order with constant coefficients, Transactions of Mathematical Education for College and University, 9(1), 103-108, 200208
  29. Steinness of the total space of a non-trivial algebraic affine C-bundle on the punctured complex affine plane, Mathematische Nachrichten, 238(1), 16-22, 200205
  30. Meromorphic convexity of normality domains, Complex Analysis and Related Topics: Proceedings of the Japan-Korea Joint Workshop in Mathematics 2001, Yamaguchi, Japan, 22-24 July 2001 (Masumoto, M., ed.), Department of Mathematical Sciences, Yamaguchi University, Yamaguchi, 1-6, 2002
  31. On the proof of the theorem which gives a criterion for the extremal point of functionsof two variables, Transactions of Mathematical Education for College and University, 8(1), 51-54, 200106
  32. On the meromorphic convexity of normality domains in a Stein manifolds, Manuscripta Mathematica, 103(4), 447-453, 2000
  33. Holomorphic ae;ffine C-bundles on the punctured complex ae;ffine plane, Proceedings of the Third International Workshop on Real and Complex Analysis, Seoul, Korea, June 8-9, 2000 (Y. Mizuta, H. Kazama, M. Furushima, and S.Y. Lee, eds.), The Institute of Mathematical Sciences, Ewha Womans University, Seoul, 71-74, 2000
  34. Analytic compactifications of C^2/G, Kyushu Journal of Mathematics, 54(1), 87-101, 200003
  35. Some results on the Steinness of the total space of a holomorphic affine C^r-bundle, Kyushu Journal of Mathematics, 53(2), 395-406, 199909
  36. Equicontinuity domains and disk property, Complex Variables Theory and Applications, 39(1), 19-25, 1999
  37. On the union of 1-convex open sets, Hiroshima Mathematical Journal, 28(1), 139-147, 199803
  38. Holomorphic affine bundles on the complement of an analytic set, Mathematische Zeitschrift, 229(3), 539-546, 1998
  39. On the complete Kählerity of complex spaces, Bulletin of Kyushu Kyoritsu University, Faculty of Engineering, 20, 17-23, 199603
  40. A result related to the meromorphic convexity, Proceedings of the Third International Colloquium on Finite or Infinite Dimensional Complex Analysis, Seoul, Korea, July 31- August 2, 1995 (J. Kajiwara, H. Kazama, S.Y. Lee, and K.H. Shon, eds.), Kyushu University Co-operation, Fukuoka, 227-233, 1995
  41. On the complex space which admits a 1-convex open covering, Proceedings of the 5th International Colloquium on Differential Equations, Plovdiv, Bulgaria, August 18-23, 1994, Vol. 1 (D. Bainov and A. Dishliev, eds.), Science Culture Technology Publishing, Singapore, 6-15, 199512
  42. A remark on the 1-convex open covering, The Bulletin of Oshima National College of Maritime Technology, 28, 69-71, 1995
  43. On the line bundle convexity of a totally pseudoconvex open set, Complex Variables Theory and Applications, 26(4), 283-290, 1995
  44. A generalization of Yasuoka's theorem on the complete Kähler exhaustion, Proceedings of the Second Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Fukuoka, Japan, July 27-29, 1994 (J. Kajiwara, H. Kazama, and K.H. Shon, eds.), Kyushu University Co-operation, Fukuoka, 1-5, 1994
  45. On the open set exhausted by complete Kähler open sets in a Stein space with isolated singularities, Proceedings of the Second Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Fukuoka, Japan, July 27-29, 1994, (J. Kajiwara, H. Kazama, and K.H. Shon, eds.), Kyushu University Co-operation, Fukuoka, 7-13, 1994
  46. On the limit of an increasing sequence of 1-convex open sets, Proceedings of the First Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Pusan, Korea, July 10-17, 1993 (J. Kajiwara, H. Kazama, and K.H. Shon, eds.), Miura Bindery, Fukuoka, 71-75, 1993
  47. Characterization of pseudoconvexity through the disk property for open sets with C^1 smooth boundaries, The Bulletin of Oshima National College of Maritime Technology, 26, 53-56, 1993
  48. On the Nebenhülle of an open set in a Stein manifold, The Bulletin of Oshima National College of Maritime Technology, 24, 125-129, 1991
  49. Domains in a two dimensional Stein space with quotient singularities, The Bulletin of Oshima National College of Maritime Technology, 21, 103-110, 1988
  50. Conditions for the Steinness of a complex manifold, The Bulletin of Oshima National College of Maritime Technology, 19, 73-79, 1986
  51. Normality domains for families of holomorphic maps into a complex Lie group, Mathematics Reports Toyama University, 1985
  52. Planar open Riemann surfaces and holomorphic approximation, Bulletin of Aichi Institute of Technology, 14-17, 201903
  53. Tube domains over C^n, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 39(2), 253-259, 198508
  54. Domains over a K-complete manifold, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 38(1), 133-140, 198403
  55. Note on the theorem of Cartan-Behnke-Stein, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 37(1), 57-62, 198303
  56. On the Nebenhülle, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 36(2), 181-184, 198209

Publications such as books

  1. 2019/03/30, Basic Linear Algebra, 2nd Ed. (in Japanese), Gakujutsu-tosho, 2019, 0330, Textbook, Joint work, Abe, M.; Honda, T.; Shibuya, K., 9784780600179, 978-4780606690
  2. 2018/03/30, Basic Linear Algebra (in Japanese), Gakujutsu-tosho, 2018, 0330, Textbook, Joint work, Abe, M.; Honda, T.; Shibuya, K., 9784780606393
  3. 2016/12/09, Calculus as an introductory subject (in Japanese), Baifûkan, 2016, 1209, Textbook, Joint work, Abe, M.; Iwamoto, C.; Shima, T.; Mukaidani, H., 9784563012076, 231
  4. 2006/04/20, Calculus (in Japanese), Fukurô Shuppan, 2006, 0420, Textbook, Single work, Abe, M., 4861862671, 189
  5. 1999/04/28, An Introduction to Mathematics from the Beginning: Calculus and Linear Algebra (in Japanese), Baifûkan, 1999, 0428, Textbook, Joint work, Abe, M.; Furushima, M.; Mizuta, Y., 4563002690, 206
  6. 1999/01, Newsletter of Information Education Center, vol. 1, Oshima Nat. College of Maritime Tech., 1999, 01, Others, Cocompilation, 日本語, Kushida, N.; Yamasaki, N.; Kanda, M.; Koike, K.; Sasai, Y.; Okamura, K.; Abe, M.; Ichimura, M.; Ishimitsu, S.; Iwasaki, H.; Shintani, K., 82, 31-33

Invited Lecture, Oral Presentation, Poster Presentation

  1. A characterization of subpluriharmonicity by using quadratic functions, Abe, M.;Sugiyama, S., 2021/09, Without Invitation, Japanese
  2. Intermediate pseudoconvexity for unramified Riemann domains over C^n, Abe, M., 2021/07/19, With Invitation, Japanese
  3. A generalization of a theorem of Kühnel on globally defined analytic sets, Abe, M.;Shima, T.;Sugiyama, S., 2021/03, Without Invitation, Japanese
  4. Intermediate pseudoconvexity for unramified Riemann domains over C^n, Abe, M.;Shima, T.;Sugiyama, S., 2020/09, Without Invitation, Japanese
  5. A Generalization of a Theorem of Kühnel on globally defined analytic sets, 2020/03/22, With Invitation, Japanese
  6. Holomorphic approximation, meromorphic approximation, and strong disk property, Abe, M., 2019/11, With Invitation, Japanese
  7. A characterization of subpluriharmonicity for a function of several complex variables, Abe, M., 2019/03/22, Japanese
  8. Planar open Riemann surfaces and holomorphic approximation property, Abe, M., 2018/05/18, With Invitation, Japanese, published
  9. Intermediate pseudoconvexity for unramified Riemann domains over C^n, Sugiyama, S.;Abe, M.;Shima, T., 2018/01/21, Without Invitation, Japanese
  10. A characterizaton of a planar open Riemann surface by a holomorphic approximation property, Abe, M., 2017/12/01, Japanese
  11. A characterization of q-pseudoconvexity for unramified domains over C^n, M. Abe, The 25th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 2017/06, English, University of Hong-Kong, Hong-Kong, China, published
  12. Holomorphic line bundles and Cartier divisors on domains in a Stein orbifold with discrete singularities, Abe, M., The 23rd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 2015/08, With Invitation, English, Kyusyu Sangyo University, Fukuoka, Japan
  13. Holomorphic line bundles and Cartier divisors on domains in a Stein orbifold with discrete singularities, Abe, M., 2015/03, Japanese
  14. A cohomological characterization for Stein open sets in a 2-dimensional Stein orbifold, Abe, M., The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 2014/08, With Invitation, English, Dongguk University, Gyeongju, Korea
  15. Meromorphic convexity and Steinness for complex spaces, Abe, M., 2014/03, Without Invitation, Japanese
  16. Strong disk property for domains in a Stein space of dimension 1, Abe, M., 2013/05, Without Invitation, Japanese
  17. An extension of the theorem of Kajiwara-Nishihara to higher dimensional spaces, Abe, M., 2013/03, Japanese
  18. Holomorphic line bundles and Cartier divisors on domains of a Stein orbifold, Abe, M., 2011/12, Without Invitation, Japanese
  19. Open sets which satisfy the Oka-Grauert principle in a Stein orbifold, Abe, M., 18th International Conference on Finite or Inc;finite Dimensional Complex Analysis and Applications, Univ. of Macau, Macau, China, 2010/08, With Invitation, English
  20. Domains which satisfy the strong disk property in a Stein manifold, Abe, M., The 13th Conference on Real and Complex Analysis in Hiroshima, Hiroshima Univ., Higashi-Hiroshima, 2010, Without Invitation, English
  21. Holomorphic line bundles and Cartier divisors on domains of a Stein orbifold, Abe, M., Seminario di Matematica, Scuola Normale Superiore di Pisa, Pisa, Italy, 2008, Without Invitation, English
  22. Strong disk property and the Bremermann problem on polynomial convexity, Abe, M., Finland-Japan Joint Seminar on Analysis, Univ. of Helsinki, Helsinki, Finland, 2007, Without Invitation, English
  23. Meromorphic approximation in a Stein space, Abe, M., The 14th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Hue University, Hue, Vietnam, 2006/08, With Invitation, English
  24. Holomorphic line bundles on a domain of a Stein manifold, Abe, M., The Ninth Conference on Real and Complex Analysis, Hiroshima Univ., Higashi-Hiroshima, 2005, Without Invitation, English
  25. Meromorphic convexity of normality domains, Abe, M., Japan-Korea Joint Workshop in Mathematics 2001: Complex Analysis and Related Topics, Yamaguchi Univ., Yamaguchi, 2001/07, With Invitation, English
  26. Holomorphic affine C-bundles on the punctured complex affine plane, Abe, M., The Third International Workshop on Real and Complex Analysis, Ewha Womans University, Seoul, Korea, 2000/06, With Invitation, English
  27. Equicontinuity domain and Montel domain with disk property, Abe, M.; Furushima, M.; Tsuji, M., 1998, Without Invitation, Japanese
  28. Analogue of the Serre problem on fiber bundles, Abe, M.; Furushima, M., Winter Seminar in Complex Analysis in Several Variables, Shonan Village Center, Hayama, 1996/12, With Invitation, Japanese
  29. A result related to the meromorphic convexity, Abe, M., 1995/08, With Invitation, English
  30. On the complex space which admits a 1-convex open covering, Abe, M., The Fifth International Colloquium on Differential Equations, Plovdiv Technical University, Plovdiv, Bulgaria, 1994/08, With Invitation, English
  31. A generalization of Yasuoka's theorem on the complete Kähler exhaustion, Abe, M., The Second Korean-Japanese Colloquium on Finite or Infininite Dimensional Complex Analysis, Kyushu Univ., Fukuoka, 1994/07, With Invitation, English
  32. On the limit of an increasing sequence of 1-convex open sets, Abe, M., The First Korean-Japanese Colloquium on Finite or Inc;finite Dimensional Complex Analysis, Pusan University, Pusan, Korea, 1993/07, With Invitation, English

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI, 2011, 2014
  2. KAKENHI, 2010, 2014
  3. 2008
  4. KAKENHI, DIVISORS AND MEROMORPHIC CONVEXITY IN A STEIN SPACE, 2008, 2010
  5. KAKENHI, Studies on meromorphic convexity in Stein spaces, 2006, 2007
  6. KAKENHI, A study on the singular Fano compactifications of 3-dimensional complex affine spaces, 2004, 2005
  7. KAKENHI, STUDY ON THE COMPLEX AFFINE SPACE CィイD1NィエD1 AND ITS COMPACTIFICATION, 1998, 1999
  8. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2017, 2020

Social Activities

Organizing Academic Conferences, etc.

  1. 2020/03, 2020/03
  2. 2018/10, 2018/10
  3. 2015/10, 2015/10
  4. The 23rd International Conference on Finite or Infinite Dimensional Complex Analysis and Application, Vice-chairperson of Organizing Committee, 2015/08, 2015/08
  5. 2011/12, 2011/12
  6. The 19th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Member of Local Organizing Committee, 2011/12, 2011/12
  7. 2019/03, 2019/03
  8. 2020/01, 2020/01

History as Peer Reviews of Academic Papers

  1. 2021, Hiroshima Mathematical Journal, Editor
  2. 2020, Hiroshima Mathematical Journal, Editor
  3. 2019, Hiroshima Mathematical Journal, Editor
  4. 2018, Hiroshima Mathematical Journal, Editor
  5. 2017, Hiroshima Mathematical Journal, Editor
  6. 2016, Hiroshima Mathematical Journal, Editor
  7. 2015, Hiroshima Mathematical Journal, Editor
  8. 2014, Hiroshima Mathematical Journal, Editor
  9. 2013, Hiroshima Mathematical Journal, Editor
  10. 2012, Hiroshima Mathematical Journal, Editor
  11. 2011, Hiroshima Mathematical Journal, Editor