Yōichi Miyaoka

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Yōichi Miyaoka ( Japanese 宮 岡 洋 一 , Miyaoka Yōichi ; * 1949 in Japan ) is a Japanese mathematician who deals with algebraic geometry .

Life

Miyaoka studied at the University of Tokyo , where he received his doctorate in 1977 under Kunihiko Kodaira ( On Chern numbers of surfaces of general type ). He taught and researched at Rikkyō University , Kyoto University , and Tokyo Metropolitan University before becoming a professor at Tokyo University.

In 1977, in his dissertation, he proved the Bogomolov-Miyaoka-Yau inequality for compact, complex algebraic surfaces of general type independently of Shing-Tung Yau . It is an inequality between topological invariants of the underlying four-dimensional real manifolds, the first and second Chern classes :

Fyodor Bogomolow had proven a weaker version (published 1978) and also before Antonius van de Ven (1966). Later he dealt with the geometry and topology of higher dimensional algebraic manifolds.

He also attracted a certain amount of attention for the attempt to prove the Fermat conjecture in 1988 , which, however, soon found an error. A few years earlier the conjecture had been incorporated into the mainstreams of arithmetic geometry after the equivalence to the Shimura-Taniyama conjecture was proven.

In 1989 he received the Spring Prize of the Japanese Mathematical Society . In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich (Rational curves on algebraic varieties).

He is married to the math professor at Tōhoku University Reiko Miyaoka .

Fonts

  • On the Chern numbers of surfaces of general type , Inventiones Mathematicae, Volume 42, 1977, pp. 225-237, digitized
  • with Mori: A numerical criterion for uniruledness. Ann. of Math. (2) 124 (1986) no. 1, 65-69.
  • with Kollar, Mori: Rationally connected varieties. J. Algebraic Geom. 1 (1992) no. 3, 429-448.
  • with Kollar, Mori: Rational connectedness and boundedness of Fano manifolds. J. Differential Geom. 36 (1992) no. 3, 765-779.
  • with Cho, Shepherd-Barron: Characterizations of projective space and applications to complex symplectic manifolds. Higher dimensional birational geometry (Kyoto, 1997), 1-88, Adv. Stud. Pure Math., 35, Math. Soc. Japan, Tokyo, 2002.
  • with Thomas Peternell : Geometry of higher dimensional algebraic varieties , Birkhäuser 1997

Web links

Individual evidence

  1. ↑ Date of birth Encyclopedic Dictionary of Mathematics , MIT Press 1994, Name Register
  2. ↑ Yōichi Miyaoka in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ^ Barry Cipra, Fermat Theorem proved, Science 239, 1373, 1988, quoted from Eric Weisstein, Fermats last theorem, Mathworld
personal data
SURNAME Miyaoka, Yōichi
ALTERNATIVE NAMES 宮 岡 洋 一 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH 1949
PLACE OF BIRTH Japan