Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/124869
Title: | Finite subschemes of abelian varieties and the Schottky problem |
Author: | Gulbrandsen, Martin G. Lahoz Vilalta, Martí |
Keywords: | Corbes Varietats abelianes Curves Abelian varieties |
Issue Date: | 2011 |
Publisher: | Association des Annales de l'Institut Fourier |
Abstract: | The Castelnuovo-Schottky theorem of Pareschi-Popa characterizes Jacobians, among indecomposable principally polarized abelian varieties $(A,\Theta)$ of dimension $g$, by the existence of $g+2$ points $\Gamma \subset A$ in special position with respect to $2 \Theta$, but general with respect to $\Theta$, and furthermore states that such collections of points must be contained in an Abel-Jacobi curve. Building on the ideas in the original paper, we give here a self contained, scheme theoretic proof of the theorem, extending it to finite, possibly nonreduced subschemes $\Gamma$. |
Note: | Reproducció del document publicat a: https://doi.org/10.5802/aif.2665 |
It is part of: | Annales de l'Institut Fourier, 2011, vol. 61, num. 5, p. 2039-2064 |
URI: | http://hdl.handle.net/2445/124869 |
Related resource: | https://doi.org/10.5802/aif.2665 |
ISSN: | 0373-0956 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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