Taira Honda

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Taira Honda (born June 2, 1932 in Fukui Prefecture , † May 15, 1975 in Osaka Prefecture ) was a Japanese mathematician who studied number theory and arithmetic algebraic geometry.

Honda studied from 1951 at the University of Tokyo, especially with Tsuneo Tamagawa . In 1955 he passed his diploma. In 1961 he became a professor at Osaka University and in 1974 at Osaka City University . In 1975, he committed suicide for unknown reasons suicide .

His first work dealt with the theory of the pitch fields from the standpoint of algebraic geometry as the theory of rational points on Abelian varieties over algebraic number fields . He continued the investigations in his dissertation, published in 1968, in which he classified Abelian varieties over finite bodies down to isogeny and based on the work of John T. Tate (Honda-Tate theory and Honda-Tate map). Further work concerned the theory of formal commutative groups in number theory (e.g. relationships to zeta functions ) and results on class numbers of algebraic number fields.

literature

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Individual evidence

  1. ^ Isogenies, rational points and section points of group varieties, Japanese Journal of Mathematics, Volume 30, 1960, pp. 84-101
  2. Isogeny classes of abelian varieties over finite fields, Journal of the Mathematical Society of Japan, Vol 20, 1968, pp 83-95