Isogenies of Jacobians
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 re...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/174102 |
| Acceso en línea: | https://hdl.handle.net/2445/174102 |
| Access Level: | acceso abierto |
| Palabra clave: | Equacions de Hamilton-Jacobi Càlcul de variacions Varietats abelianes Hamilton-Jacobi equations Calculus of variations Abelian varieties |
| Sumario: | 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. |
|---|