Abelian varieties in Brill--Noether loci
Algebraic Geometry
2014-03-14 v1
Abstract
In this paper, improving on results of Abramovich- Harris and Debarre- Fahlaoui we give the full classification of curves C of genus g such that a Brill--Noether locus W^ s_d(C), strictly contained in the jacobian J(C) of C, contains a variety Z stable under translations by the elements of a positive dimensional abelian subvariety A contained in J(C) and such that dim(Z)=d-dim(A)-2s, i.e., the maximum possible for such a Z.
Keywords
Cite
@article{arxiv.1307.4771,
title = {Abelian varieties in Brill--Noether loci},
author = {Ciro Ciliberto and Margarida Mendes Lopes and Rita Pardini},
journal= {arXiv preprint arXiv:1307.4771},
year = {2014}
}