4 citations · 8 across the 9 of their papers we have counts for
9 papers
Families of Prym varieties of abelian coverings and Shimura varieties
Abolfazl Mohajer
Under the condition that the Prym map is injective in characteristic , we prove that the special subvarieties in the moduli space of abelian varieties of dimension and polar…
Shimura subvarieties in the Prym locus of ramified Galois coverings
Gian Paolo Grosselli, Abolfazl Mohajer
We study Shimura (special) subvarieties in the moduli space of complex abelian varieties of dimension and polarization type . These subvarieties arise from familie…
Twists of Albanese varieties over function fields with large ranks
Abolfazl Mohajer, Sajad Salami
In this paper we construct abelian varieties of large Mordell-Weil rank over function fields. We achieve this by using a generalization of the notion of Prym variety to higher dime…
Higher dimensional Shimura varieties in the Prym loci of ramified double covers
Paola Frediani, Gian Paolo Grosselli, Abolfazl Mohajer
In this paper we construct Shimura subvarieties of dimension bigger than one of the moduli space of polarised abelian varieties of a given dimension, which are generically containe…
Rational points on abelian varieties over function fields and Prym varieties
Abolfazl Mohajer
In this paper, using a generalization of the notion of Prym variety for covers of quasi-projective varieties, we prove a structure theorem for the Mordell-Weil group of the abelian…
On the Prym map of Galois covering
Abolfazl Mohajer
In this paper we consider the Prym variety associated to a Galois coverings of curves branched at points. We discuss some properties…