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Algebraic and rigid geometry on the Schottky problem
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Takashi Ichikawa
Published/Copyright:
July 19, 2013
Abstract
We study the Schottky problem by giving the KP characterization of Jacobian varieties among abelian varieties in terms of their algebraic or nonarchimedean theta functions.
I would like to thank Takao Yamazaki for organizing workshops by his project connecting soliton theory with number theory. These workshops drew my attention to the subject of this paper. I am also grateful to Satoshi Kondo and the referee whose comments were very useful to revise this paper.
Received: 2012-2-23
Revised: 2013-6-22
Published Online: 2013-7-19
Published in Print: 2015-8-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Supercuspidal part of the mod l cohomology of GU(1,n - 1)-Shimura varieties
- Algebraic and rigid geometry on the Schottky problem
- Topological full groups of one-sided shifts of finite type
- Ricci curvature and Lp-convergence
- Weak multiplier Hopf algebras I. The main theory
- Families of abelian varieties with many isogenous fibres
- Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
Articles in the same Issue
- Frontmatter
- Supercuspidal part of the mod l cohomology of GU(1,n - 1)-Shimura varieties
- Algebraic and rigid geometry on the Schottky problem
- Topological full groups of one-sided shifts of finite type
- Ricci curvature and Lp-convergence
- Weak multiplier Hopf algebras I. The main theory
- Families of abelian varieties with many isogenous fibres
- Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
