Algebraic geometry, complex manifolds, Hodge theory
Awards
Fields Medal (1954) Japan Academy Prize (1957) Order of Culture (1957) Wolf Prize (1984/5)
Scientific career
Fields
Mathematics
Institutions
University of Tokyo Institute for Advanced Study Johns Hopkins University Princeton University Stanford University
Doctoral advisor
Shokichi Iyanaga
Doctoral students
Walter Lewis Baily, Jr. Shigeru Iitaka Yoichi Miyaoka James A. Morrow
Kunihiko Kodaira (小平 邦彦, Kodaira Kunihiko, Japanese pronunciation:[kodaꜜiɾakɯɲiꜜçi̥ko], 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]
^ abMiyaoka, Yoichi. "Kunihiko Kodaira (Fields Medal 1954)". Notable alumni. The University of Tokyo. Archived from the original on 2022-11-03. Retrieved January 28, 2018.
KunihikoKodaira (小平 邦彦, KodairaKunihiko, Japanese pronunciation: [kodaꜜiɾa kɯɲiꜜçi̥ko], 16 March 1915 – 26 July 1997) was a Japanese mathematician known...
defined the Kodaira dimension for higher dimensional varieties (under the name of canonical dimension), and later named it after KunihikoKodaira. The canonical...
precisely which complex manifolds are defined by homogeneous polynomials. KunihikoKodaira's result is that for a compact Kähler manifold M, with a Hodge metric...
elliptic curves are called the singular fibers and were classified by KunihikoKodaira. Both elliptic and singular fibers are important in string theory,...
Bott, John Milnor, Stephen Smale, Armand Borel, Shiing-Shen Chern, KunihikoKodaira, Donald Spencer, Michael Atiyah, Isadore Singer, Shreeram Shankar Abhyankar...
degrees n {\displaystyle n} and higher, which yields the theorem. KunihikoKodaira and Donald C. Spencer found that under certain restrictions, it is...
computed using the Hirzebruch–Riemann–Roch theorem. The statement of KunihikoKodaira's result is that if M is a compact Kähler manifold of complex dimension...
mathematics, a Kodaira surface is a compact complex surface of Kodaira dimension 0 and odd first Betti number. The concept is named after KunihikoKodaira. These...
original on 29 March 2022. Retrieved 31 March 2017. Donald C. Spencer. "KunihikoKodaira (1915–1997)" (PDF). Ams.org. Archived (PDF) from the original on 23...
complex analytic K3 surfaces are diffeomorphic as smooth 4-manifolds, by KunihikoKodaira. Every complex analytic K3 surface has a Kähler metric, by Yum-Tong...
set of insights, recovered in modern complex manifold language by KunihikoKodaira in the 1950s, and refined to include mod p phenomena by Zariski, the...
States (d. 1993) 1913 – Rémy Raffalli, French soldier (d. 1952) 1915 – KunihikoKodaira, Japanese mathematician (d. 1997) 1916 – Mercedes McCambridge, American...
flaw was discovered by Bohnenblust. Independently, Hermann Weyl and KunihikoKodaira modified Hodge's proof to repair the error. This established Hodge's...
the deformation theory of complex structures originally studied by KunihikoKodaira and Donald C. Spencer. In 1997 Juan Maldacena gave some arguments indicating...
attended the University of Tokyo Masatoshi Koshiba Kiichiro Toyoda KunihikoKodaira Yoshinori Ohsumi Namihei Odaira Yoichiro Nambu Teiji Takagi Yoshisuke...
He received his Ph.D. in 1970 from the University of Tokyo under KunihikoKodaira with thesis「代数多様体のD-次元について」(On D-dimensions of algebraic varieties)...
was into five main classes, and was background to further work until KunihikoKodaira reconsidered the matter in the 1950s. The largest class, in some sense...
first Betti number is 1 and the second Betti number is 0. Conversely KunihikoKodaira (1968) showed that a compact complex surface with vanishing the second...