| Kunihiko Kodaira | |
 | |
| Born | 16 March 1915 Nagano Prefecture |
|---|---|
| Died | 26 July 1997 Kofu |
| Citizenship | Japan |
| Fields | mathematician |
| Known for | algebraic geometry, complex manifold |
| Notable awards | Fields Medal in 1954 |
Kunihiko Kodaira (小平 邦彦 Kodaira Kunihiko?, 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. Events 597 BC - Babylonians capture Jerusalem, replace Jehoiachin with Zedekiah as king Year 1915 ( MCMXV) was a Common year starting on Friday (link will display the full calendar of the Gregorian calendar (or a Common year WikipediaWikiProject Japanese prefectures for guidelines --> is a prefecture of Japan located in the Chūbu region of the island of Honshū Events 657 - Battle of Siffin. 811 - Battle of Pliska; Byzantine Emperor Nicephorus Year 1997 ( MCMXCVII) was a Common year starting on Wednesday (link will display full 1997 Gregorian calendar For a topic outline on this subject see List of basic Japan topics. A mathematician is a person whose primary area of study and research is the field of Mathematics. Algebraic geometry is a branch of Mathematics which as the name suggests combines techniques of Abstract algebra, especially Commutative algebra, with In Differential geometry, a complex manifold is a Manifold with an atlas of charts to the open unit disk in C n, The Fields Medal is a prize awarded to two three or four Mathematicians not over 40 years of age at each International Congress of the International Mathematical Year 1954 ( MCMLIV) was a Common year starting on Friday (link will display full 1954 Gregorian calendar) Events 597 BC - Babylonians capture Jerusalem, replace Jehoiachin with Zedekiah as king Year 1915 ( MCMXV) was a Common year starting on Friday (link will display the full calendar of the Gregorian calendar (or a Common year Events 657 - Battle of Siffin. 811 - Battle of Pliska; Byzantine Emperor Nicephorus Year 1997 ( MCMXCVII) was a Common year starting on Wednesday (link will display full 1997 Gregorian calendar For a topic outline on this subject see List of basic Japan topics. A mathematician is a person whose primary area of study and research is the field of Mathematics. Algebraic geometry is a branch of Mathematics which as the name suggests combines techniques of Abstract algebra, especially Commutative algebra, with In Differential geometry, a complex manifold is a Manifold with an atlas of charts to the open unit disk in C n, He was awarded a Fields Medal in 1954, being the first Japanese to receive this honour. The Fields Medal is a prize awarded to two three or four Mathematicians not over 40 years of age at each International Congress of the International Mathematical Year 1954 ( MCMLIV) was a Common year starting on Friday (link will display full 1954 Gregorian calendar)
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Early years
He was born in Nagano Prefecture. WikipediaWikiProject Japanese prefectures for guidelines --> is a prefecture of Japan located in the Chūbu region of the island of Honshū He graduated from the University of Tokyo in 1938 with a degree in mathematics and also graduated from the physics department at the University of Tokyo in 1941. The, abbreviated as, is a major Research university located in Tokyo, Japan. The, abbreviated as, is a major Research university located in Tokyo, Japan. During the war years he worked in isolation, but was able to master Hodge theory as it then stood. World War II, or the Second World War, (often abbreviated WWII) was a global military conflict which involved a majority of the world's nations, including In Mathematics, Hodge theory is one aspect of the study of the Algebraic topology of a Smooth manifold M. He obtained his Ph.D. degree from the University of Tokyo in 1949, with a thesis entitled Harmonic fields in Riemannian manifolds. "PhD" redirects here for other uses see PhD (disambiguation. The, abbreviated as, is a major Research university located in Tokyo, Japan. Year 1949 ( MCMXLIX) was a Common year starting on Saturday (link will display the full calendar of the Gregorian calendar. He was involved in cryptographic work from about 1944, at a time of great personal difficulty, while holding an academic post in Tokyo. Year 1944 ( MCMXLIV) was a Leap year starting on Saturday (link will display full calendar of the Gregorian calendar.
Institute for Advanced Study
In 1949 he travelled to the Institute for Advanced Study in Princeton, New Jersey at the invitation of Hermann Weyl. The Institute for Advanced Study, located in Princeton New Jersey, United States is a center for theoretical research See also Princeton Township New Jersey, Borough of Princeton New Jersey Princeton Borough New Jersey Princeton Township New Jersey this Hermann Klaus Hugo Weyl ( 9 November 1885 – 8 December 1955) was a German Mathematician. At this time the foundations of Hodge theory were being brought in line with contemporary technique in operator theory. Kodaira rapidly became involved in exploiting the tools it opened up in algebraic geometry, adding sheaf theory as it became available. In Mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the Open sets of a Topological space. This work was particularly influential, for example on Hirzebruch. Friedrich EP Hirzebruch (born 17 October 1927) is a German mathematician working in the fields of Topology, Complex
In a second research phase, Kodaira wrote a long series of papers in collaboration with D. C. Spencer, founding the deformation theory of complex structures on manifolds. Donald Clayton Spencer ( April 25 1912 - December 23 2001) was an American Mathematician, known for major work on Deformation In Mathematics, deformation theory is the study of infinitesimal conditions associated with varying a solution P of a problem to slightly different solutions This gave the possibility of constructions of moduli spaces, since in general such structures depend continuously on parameters. In Algebraic geometry, a moduli space is a geometric space (usually a scheme or an Algebraic stack) whose points represent algebro-geometric objects of It also identified the sheaf cohomology groups, for the sheaf associated with the holomorphic tangent bundle, that carried the basic data about the dimension of the moduli space, and obstructions to deformations. This theory is still foundational, and also had an influence on the (technically very different) scheme theory of Grothendieck. In Mathematics, a scheme is an important concept connecting the fields of Algebraic geometry, Commutative algebra and Number theory. Experimental infobox see Wikipedia talkPersondata before changing --> Alexander Grothendieck (born March 28, 1928 in Berlin, Germany Spencer then continued this work, applying the techniques to structures other than complex ones, such as G-structures. In Differential geometry, a G -structure on an n - Manifold M, for a given Structure group G, is a G
In a third major part of his work, Kodaira worked again from around 1960 through the classification of algebraic surfaces, from birational geometry, from the point of view of complex manifold theory. In Mathematics, the Enriques-Kodaira classification is a classification of compact complex surfaces In Mathematics, birational geometry is a part of the subject of Algebraic geometry, that deals with the geometry of an Algebraic variety that is dependent This resulted in a typology of seven kinds of two-dimensional compact complex manifolds, recovering the five algebraic types known classically; the other two being non-algebraic. He provided also detailed studies of elliptic fibrations of surfaces over a curve, or in other language elliptic curves over function fields, a theory whose arithmetic analogue proved important soon afterwards. In Mathematics, an elliptic surface is a surface that has an elliptic fibration in other words a proper connected Smooth morphism to an Algebraic In Mathematics, an elliptic curve is a smooth, projective Algebraic curve of genus one on which there is a specified point O This work also included a characterisation of K3 surfaces as deformations of quartic surfaces in P4, and the theorem that they form a single diffeomorphism class. In Mathematics, in the field of Complex manifolds a K3 surface is an important and interesting example of a compact complex surface ( Complex dimension In Mathematics, a diffeomorphism is an Isomorphism of Smooth manifolds It is an Invertible function that maps one Differentiable Again, this work has proved foundational. (The K3 surfaces were named after Kummer, Kähler, and Kodaira). Ernst Eduard Kummer ( 29 January 1810 - 14 May 1893) was a German Mathematician. Erich Kähler ( 16 January 1906 - 31 May 2000) was a German Mathematician with wide-ranging geometrical interests
Later years
Kodaira left the Institute for Advanced Study in 1961, and briefly served as chair at the Johns Hopkins University and Stanford University In 1967, returned to the University of Tokyo. Leland Stanford Junior University, commonly known as Stanford University or simply Stanford, is a private Research university located in The, abbreviated as, is a major Research university located in Tokyo, Japan. He was awarded a Wolf Prize in 1984/5. He died in Kofu on 26 July 1997. Events 657 - Battle of Siffin. 811 - Battle of Pliska; Byzantine Emperor Nicephorus Year 1997 ( MCMXCVII) was a Common year starting on Wednesday (link will display full 1997 Gregorian calendar
See also
- Spectral theory of ordinary differential equations
- Kodaira vanishing theorem
- Kodaira-Spencer mapping
- Kodaira dimension
- Kodaira embedding theorem
External links
- Kunihiko Kodaira at the Mathematics Genealogy Project
- O'Connor, John J. In Mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated In Mathematics, the Kodaira vanishing theorem is a basic result of Complex manifold theory and complex Algebraic geometry, describing general conditions In Mathematics, the pluricanonical ring of an Algebraic variety V (which is Non-singular) or of a Complex manifold, is the graded In Mathematics, the Kodaira embedding theorem characterises Non-singular Projective varieties, over the Complex numbers amongst compact The Mathematics Genealogy Project is a web-based Database that gives an Academic genealogy based on Dissertation supervision relations & Robertson, Edmund F. , “Kunihiko Kodaira”, MacTutor History of Mathematics archive
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