Yūjirō Kawamata

Yūjirō Kawamata ( Japanese 川 又 雄 二郎 , Kawamata Yūjirō ; born September 29, 1952 ) is a Japanese mathematician who deals with algebraic geometry and especially with the birational geometry of higher-dimensional algebraic varieties.

Kawamata completed his master's degree in mathematics at the University of Tokyo in 1977 , was then an assistant at the University of Mannheim and received his doctorate in Tokyo in 1980 with Shigeru Iitaka ( Characterization of abelian varieties ). As a post-doctoral student , he was a Miller Fellow at the University of California, Berkeley until 1983 . He is a professor at Tokyo University.

Kawamata was one of the driving forces in the program of minimal models in higher-dimensional algebraic geometry in the 1980s (with Shigefumi Mori , János Kollár , Miles Reid , Yōichi Miyaoka and others). The Kawamata-Viehweg-Vanishing theorem, a tightening of the Vanishing Law of Kodaira , and the rationality theorem of Kawamata are named after him and Eckart Viehweg . He classified two-dimensional canonical log singularities in the Minimal Model Program in 1988 .

In 1990 he received the Japanese Academy of Sciences Prize and in 1988 the Japanese Mathematical Society's Fall Prize . He was invited speaker at the International Congress of Mathematicians in Kyoto 1990 ( Canonical and minimal models of algebraic varieties ).

Fonts

• with K. Matsuda, K. Matsuki: Introduction to the minimal model program . In: Algebraic Geometry , Sendai 1985. Advanced Studies in Pure Mathematics 10. North-Holland, 1987, pp. 283-360.
• Deformations of canonical singularities . J. Amer. Math. Soc., Vol. 12, 1999, pp. 85-92.
• On Fujita's freeness conjecture for 3-folds and 4-folds. Math. Ann., Vol. 308, 1997, pp. 491-505.
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces . Annals of Mathematics, Volume 127, 1988, pp. 93-163
• On the length of an extremal rational curve. Invent. Math., Vol. 105, 1991, pp. 609-611
• Abundance theorem for minimal threefolds . Invent. Math., Vol. 108, 1992, pp. 229-246.
• Kodaira dimension of algebraic fiber spaces over curves. Invent. Math., Vol. 66, 1982, pp. 57-71.
• Minimal models and the Kodaira dimension of algebraic fiber spaces . J. pure angew. Math., Volume 363, 1985, pp. 1-46.
• The cone of curves of algebraic varieties, Annals of Mathematics . Volume 119, 1984, pp. 603-633.
• A generalization of Kodaira-Ramanujam's vanishing theorem . Mathematische Annalen, Volume 261, 1982, pp. 43-46.
• Characterization of abelian varieties . Compositio Math., Vol. 43, 1981, pp. 253-276.
• D-equivalence and K-equivalence . J. Diff. Geom., Vol. 61, 2002, pp. 147-171.
• Kōji gendai sūta yōdairon ( 高 次 元代 数 多 様 体 論 , "higher dimensional algebraic varieties"). Iwanami Shoten, 2014, ISBN 978-4-00-007598-5 .

Web links

• Homepage

Individual evidence

1. ↑ Yūjirō Kawamata in the Mathematics Genealogy Project (English)
2. ↑ Kawamata-Viehweg Rationality Theorem, Encyclopedia of Mathematics
3. ^ Kawamata Rationality Theorem, Encyclopedia of Mathematics, Springer