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The equations defining abelian varieties and modular functions

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Publication:1250252
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DOI10.1007/BF01420411zbMath0387.14009MaRDI QIDQ1250252

Shoji Koizumi

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163276


zbMATH Keywords

EQUATIONS DEFINING ABELIAN VARIETIESFIELD OF MODULAR FUNCTIONS ON SIEGEL's HALF SPACETHETA FUNCTION


Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Automorphic functions (32N99)


Related Items (4)

On Riemann type relations for theta functions on bounded symmetric domains of type \(I\) ⋮ Solitons and periodic processes as solutions of functional equations ⋮ On the explicit solutions of the elliptic Calogero system ⋮ Defining equations of the universal abelian surfaces with level three structure



Cites Work

  • On the cubics defining abelian varieties
  • On equations defining abelian varieties and modular functions
  • Compactification of arithmetic quotients of bounded symmetric domains
  • On the equations defining Abelian varieties. I-III
  • Theta Relations and Projective Normality of Abelian Varieties


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