Kunihiko Kodaira

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Kunihiko Kodaira
Walter Lewis Baily, Jr.
Shigeru Iitaka
Yoichi Miyaoka
James A. Morrow

Kunihiko Kodaira (小平 邦彦, Kodaira Kunihiko, Japanese pronunciation: [kodaꜜiɾa kɯɲiꜜçi̥ko], 16 March 1915 – 26 July 1997) was a Japanese mathematician known for distinguished work in algebraic geometry and the theory of complex manifolds, and as the founder of the Japanese school of algebraic geometers.[1] He was awarded a Fields Medal in 1954, being the first Japanese national to receive this honour.[1]

Early years

Kodaira was born in

PhD from the University of Tokyo in 1949, with a thesis entitled Harmonic fields in Riemannian manifolds.[2]
He was involved in cryptographic work from about 1944, while holding an academic post in Tokyo.

Institute for Advanced Study and Princeton University

In 1949 he travelled to the

sheaf theory as it became available. This work was particularly influential, for example on Friedrich Hirzebruch
.

In a second research phase, Kodaira wrote a long series of papers in collaboration with

G-structures
.

In a third major part of his work, Kodaira worked again from around 1960 through the

elliptic fibrations of surfaces over a curve, or in other language elliptic curves over algebraic function fields, a theory whose arithmetic analogue proved important soon afterwards. This work also included a characterisation of K3 surfaces as deformations of quartic surfaces in P3, and the theorem that they form a single diffeomorphism class. Again, this work has proved foundational. (The K3 surfaces were named after Ernst Kummer, Erich Kähler
, and Kodaira).

Later years

Kodaira left Princeton University and the Institute for Advanced Study in 1961, and briefly served as chair at the

Kofu
on 26 July 1997.

He was honoured with the membership of the Japan Academy, the Mathematical Society of Japan and the American Academy of Arts and Sciences in 1978. He was the foreign associate of the US National Academy of Sciences in 1975, member of the Göttingen Academy of Sciences in 1974 and honorary member of the London Mathematical Society in 1979. He received the Order of Culture and the Japan Academy Prize in 1957 and the Fujiwara Prize in 1975.

Bibliography

  • MR 0302937
  • Kodaira, Kunihiko (1975),
    MR 0366598
  • Kodaira, Kunihiko (1975), Baily, Walter L. (ed.), Kunihiko Kodaira: collected works, vol. II, Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J.,
    MR 0366599
  • Kodaira, Kunihiko (1975), Baily, Walter L. (ed.), Kunihiko Kodaira: collected works, vol. III, Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, N.J.,
    MR 0366600
  • Kodaira, Kunihiko (2005) [1981], Complex manifolds and deformation of complex structures, Classics in Mathematics, Berlin, New York:
    MR 0815922, review by Andrew J. Sommese
  • Kodaira, Kunihiko (2007), Complex analysis, Cambridge Studies in Advanced Mathematics, vol. 107,
    MR 2343868

See also

References

  1. ^ a b Miyaoka, Yoichi. "Kunihiko Kodaira (Fields Medal 1954)". Notable alumni. The University of Tokyo. Archived from the original on 2022-11-03. Retrieved January 28, 2018.
  2. JSTOR 1969552
    .

External links
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