Fukuma Yoshiaki

フクマヨシアキ | Fukuma Yoshiaki

Affiliation and department：
Job title： Professor
Homepage URL (2)： http://www.math.kochi-u.ac.jp/fukuma/indexj.html , http://www.math.kochi-u.ac.jp/fukuma/index.html

Research field (1)： Algebra

Research keywords (2)：代数幾何学 , Algebraic Geometry

Research theme for competitive and other funds (13)：

2021 - 2026 Study on the dimension of the adjoint bundle due to invariants of polarized manifolds
2016 - 2019 偏極多様体の不変量による随伴束の大域切断のなす次元についての研究
2012 - 2015 偏極多様体の多重随伴束の大域切断のなす次元についての研究
2010 - 2012 On families of rational curves and Fano varieties.
2008 - 2011 偏極多様体の断面幾何種数による随伴束の大域切断の次元に関する研究

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Papers (82)：

Yoshiaki FUKUMA. On the positivity of the dimension of the global sections of adjoint bundle for quasi-polarized manifold with numerically trivial canonical bundle. Journal of the Mathematical Society of Japan. 2022. 74. 2
Yoshiaki Fukuma. On the dimension of the global sections of adjoint bundles for quasi-polarized manifold whose anti-canonical bundle is effective, nef and big. Kodai Mathematical Journal. 2022. 45. 1. 1-18
Yoshiaki FUKUMA. ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS. Kyushu Journal of Mathematics. 2021. 75. 2. 211-233
Yoshiaki Fukuma. On invariants of polynomial functions, II. Algebra and Discrete Mathematics. 2021. 31. 1. 71-83
Yoshiaki Fukuma. A generalization of Δ-genus for big divisors on projective varieties. Communications in Algebra. 2020. 48. 1. 168-184

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MISC (4)：

FUKUMA Yoshiaki. On the sectional geometric genus of multi-polarized manifolds and its application (Higher Dimensional Algebraic Varieties and Vector Bundles). RIMS Kokyuroku Bessatsu. 2008. 9. 97-113
Yoshiaki Fukuma. "On the Sectional Geometric Genus of Quasi-Polarized Varieties, I" (vol 32, pg 1069, 2004). COMMUNICATIONS IN ALGEBRA. 2008. 36. 9. 3250-3252
Fukuma Yoshiaki. A generalization of the sectional genus and the $\Delta$-genus of polarized varieties (Local invariants of families of algebraic curves). RIMS Kokyuroku. 2003. 1345. 166-181
Fukuma Yoshiaki. ON COMPLEX MANIFOLDS POLARIZED BY AN AMPLE LINE BUNDLE OF SECTIONAL GENUS $q(X)+2$ (Free resolution of defining ideals of projective varieties). RIMS Kokyuroku. 1999. 1078. 93-102

Books (2)：

Lectures and oral presentations (3)：

On the dimension of the global sections of adjoint bundles for polarized manifolds
(Algebraic surfaces and related topics 2019)
5 次元偏極多様体の随伴束の大域切断のなす次元に関する考察
(日本数学会年会 2019)
準偏極多様体の不変量による随伴束の大域切断の次元についての考察
(日本数学会秋季総合分科会代数学分科会特別講演 2013)

Education (4)：

- 1996 Tokyo Institute of Technology Science of Engineering Mathematics
- 1996 Tokyo Institute of Technology Graduate School, Division of Science and Engineering
- 1991 The University of Tokyo Faculty of Science Department of Mathematics
- 1991 The University of Tokyo Faculty of Science

Professional career (1)：

Work history (13)：

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Association Membership(s) (2)：

アメリカ数学会 , 日本数学会

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