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arXiv · 1307.4771

Abelian varieties in Brill--Noether loci

Ciro Ciliberto·Margarida Mendes Lopes·Rita Pardini
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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.

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Ciro Ciliberto, Margarida Mendes Lopes, Rita Pardini. 2013-07-17. Abelian varieties in Brill--Noether loci. https://doi.org/10.1016/j.aim.2014.02.024

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