In this paper, improving on results of Abramovich, Harris, Debarre and Fahlaoui [1,8], we give the full classification of curves C of genus g such that a Brill-Noether locus Wds(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 {subset of with not equal to} J(C) and such that dim(Z) = d - dim(A) - 2. s, i.e., the maximum possible for such a Z.
Abelian varieties in Brill-Noether loci
PARDINI, RITA
2014-01-01
Abstract
In this paper, improving on results of Abramovich, Harris, Debarre and Fahlaoui [1,8], we give the full classification of curves C of genus g such that a Brill-Noether locus Wds(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 {subset of with not equal to} J(C) and such that dim(Z) = d - dim(A) - 2. s, i.e., the maximum possible for such a Z.File in questo prodotto:
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