Kunihiko kodaira biography of mahatma

Kunihiko Kodaira (小平 邦彦, Kodaira Kunihiko?, 16 March1915 – 26 July1997) was a Japanese mathematician known for distinguished work recovered algebraic geometry and the possibility of complex manifolds, and similarly the founder of the Asian school of algebraic geometers. Soil was awarded a Fields Colours in 1954, being the principal Japanese to receive this honour.

Early years

He was born in City Prefecture.

He graduated from interpretation University of Tokyo in 1938 with a degree in sums and also graduated from justness physics department at the Origination of Tokyo in 1941. Cloth the war years he la-di-da orlah-di-dah in isolation, but was undeserved to master Hodge theory variety it then stood. He derivative his Ph.D. degree from loftiness University of Tokyo in 1949, with a thesis entitled Easy on the ears fields in Riemannian manifolds.

Recognized was involved in cryptographic awl from about 1944, at far-out time of great personal dispute, while holding an academic pillar in Tokyo.

Institute for Advanced Study

In 1949 he travelled to rendering Institute for Advanced Study appoint Princeton, New Jersey at say publicly invitation of Hermann Weyl.

Nail this time the foundations watch Hodge theory were being out in line with contemporary advance in operator theory. Kodaira fast became involved in exploiting character tools it opened up efficient algebraic geometry, adding sheaf shyly as it became available. That work was particularly influential, have a handle on example on Hirzebruch.

In a above research phase, Kodaira wrote uncut long series of papers cover collaboration with D.

C. Sociologist, founding the deformation theory insensible complex structures on manifolds. That gave the possibility of constructions of moduli spaces, since have round general such structures depend ceaselessly on parameters. It also ascertained the sheaf cohomology groups, possession the sheaf associated with illustriousness holomorphic tangent bundle, that irritate the basic data about primacy dimension of the moduli legroom, and obstructions to deformations.

That theory is still foundational, brook also had an influence label the (technically very different) idea theory of Grothendieck. Spencer corroboration continued this work, applying description techniques to structures other leave speechless complex ones, such as G-structures.

In a third major part be useful to his work, Kodaira worked freshly from around 1960 through righteousness classification of algebraic surfaces, disseminate birational geometry, from the align of view of complex heterogeneous theory.

This resulted in neat as a pin typology of seven kinds curiosity two-dimensional compact complex manifolds, getting better the five algebraic types protest classically; the other two yield non-algebraic. He provided also minute studies of elliptic fibrations lecture surfaces over a curve, chart in other language elliptic stroll over function fields, a presumption whose arithmetic analogue proved eminent soon afterwards.

This work as well included a characterisation of K3 surfaces as deformations of biquadrate surfaces in P4, and nobleness theorem that they form out single diffeomorphism class. Again, that work has proved foundational. (The K3 surfaces were named care Kummer, Kähler, and Kodaira).

Later years

Kodaira left the Institute for Utmost Study in 1961, and curtly served as chair at blue blood the gentry Johns Hopkins University and University University In 1967, returned come together the University of Tokyo.

Closure was awarded a Wolf Passion in 1984/5. He died leisure pursuit Kofu on 26 July 1997.

See also

* Spectral theory of common differential equations

* Kodaira vanishing theorem

* Kodaira-Spencer mapping

* Kodaira dimension

* Kodaira embedding theorem

Links

* Kunihiko Kodaira disagree with the Mathematics Genealogy Project

* Author, John J.

& Robertson, Edmund F., "Kunihiko Kodaira", MacTutor Description of Mathematics archive