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http://hdl.handle.net/2445/174112| Title: | Isogenies of Jacobians |
| Author: | Marcucci, Valeria Naranjo del Val, Juan Carlos Pirola, Gian Prieto |
| Keywords: | Equacions de Hamilton-Jacobi Càlcul de variacions Varietats abelianes Hamilton-Jacobi equations Calculus of variations Abelian varieties |
| Issue Date: | 13-Dec-2015 |
| Publisher: | Foundation Compositio Mathematica |
| Abstract: | By studying the infinitesimal variations of the Hodge structure and a generalization of the classical Babbage-Enriques-Petri theorem, we prove that the Jacobian variety of a generic element of a codimension k subvariety of Mg is not isogenous to different Jacobian if g > 3k + 4. We extend this result to k = 1, g > 5 by using degeneration methods. |
| Note: | Reproducció del document publicat a: https://doi.org/10.14231/AG-2016-020 |
| It is part of: | Algebraic Geometry, 2015, vol. 3, num. 4, p. 424-440 |
| URI: | http://hdl.handle.net/2445/174112 |
| Related resource: | https://doi.org/10.14231/AG-2016-020 |
| ISSN: | 2214-2584 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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