4 citations · 10 across the 16 of their papers we have counts for
17 papers
Tropical covers, tropical abelian varieties and Prym varieties
Abolfazl Mohajer
We define and investigate the tropical Prym varieties associated to unramified Galois cyclic covers of tropical curves (or equivalently metric graphs) . Our approach…
On the Existence of Shimura curves in the Prym locus of abelian covers of projective line
Abolfazl Mohajer
Using the theory of Higgs bundles and their stabitlity properties associated to fibered surfaces and the Viehweg-Zuo characterization of Shimura curves in the moduli space of abeli…
Decomposition of Jacobian varieties and Shimura subvarieties in
Abolfazl Mohajer
Using the decomposition of Jacobians with group action, we prove the non-existence of some Shimura subvarieties in the moduli space of ppav arising from families of dihedra…
On Shimura curves generated by families of Galois -covers of curves
Abolfazl Mohajer
In this paper we prove there are no families of cyclic -covers of elliptic curves which generate non-compact Shimura (special) curves that lie generically in the Torelli locu…
On Galois Coverings of curves and their Families
Abolfazl Mohajer
In this paper, we describe Galois covers of algebraic curves and their families by using local systems associated to push-forward of sheaves by the structure morphism. More precise…
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…
Shimura varieties and abelian covers of the line
Abolfazl Mohajer
We prove that under some conditions on the monodromy, families of abelian covers of the projective line do not give rise to (higher dimensional) Shimura subvarieties in . This…
On metabelian galois coverings of complex algebraic varieties
Abolfazl Mohajer
Let be a finite ramified Galois covering of algebraic varieties defined over the complex numbers. In this paper, we prove some structure theorems for such coverings in t…
On Shimura subvarieties of the Prym locus
Abolfazl Mohajer
We show that families of Pryms of abelian Galois covers of in (resp. ) do not give rise to high dimensional Shimura subvareties.
Some Remarks on Ideals with large Regularity and Regularity Jumps
Keivan Borna, Abolfazl Mohajer
This paper exhibits some new examples of the behavior of the Castelnuovo-Mumford regularity of homogeneous ideals in polynomial rings. More precisely, we present new examples of ho…
Special subvarieties in Mumford-Tate varieties
Abolfazl Mohajer, Stefan Müller-Stach, Kang Zuo
Let X be a Mumford-Tate variety, i.e., a quotient of a Mumford-Tate domain D by a discrete subgroup. Mumford-Tate varieties are generalizations of Shimura varieties. We define the…
On Shimura subvarieties generated by families of abelian covers of
Abolfazl Mohajer, Kang Zuo
We study the locus of abelian Galois covers of in and the problem of occurrence of Shimura (special) subvarieties generated by these covers in the Torelli…