Universitat de Barcelona
2021-02-21T22:15:21Z
2021-02-21T22:15:21Z
2015-12-13
2021-02-21T22:15:21Z
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.
Article
Versió publicada
Anglès
Equacions de Hamilton-Jacobi; Càlcul de variacions; Varietats abelianes; Hamilton-Jacobi equations; Calculus of variations; Abelian varieties
Foundation Compositio Mathematica
Reproducció del document publicat a: https://doi.org/10.14231/AG-2016-020
Algebraic Geometry, 2015, vol. 3, num. 4, p. 424-440
https://doi.org/10.14231/AG-2016-020
cc-by-nc (c) Marcucci, Valeria et al., 2015
http://creativecommons.org/licenses/by-nc/3.0/es
