Abolfazl Mohajer

activity

20142026

most citedOn the Prym map of Galois covering

4 citations · 10 across the 16 of their papers we have counts for

collaborators

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16 papers · 1 filter

math.AG2026

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) $Γ ~ \to Γ$ . Our approach…

math.AG2024

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…

math.AG2023

Decomposition of Jacobian varieties and Shimura subvarieties in $A_{g}$

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 $A_{g}$ arising from families of dihedra…

math.AG2023

On Shimura curves generated by families of Galois $G$ -covers of curves

Abolfazl Mohajer

In this paper we prove there are no families of cyclic $Z_{n}$ -covers of elliptic curves which generate non-compact Shimura (special) curves that lie generically in the Torelli locu…

math.AG2023

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…

math.AG2022

Families of Prym varieties of abelian coverings and Shimura varieties

Abolfazl Mohajer

Under the condition that the Prym map is injective in characteristic $p$ , we prove that the special subvarieties in the moduli space of abelian varieties of dimension $l$ and polar…

math.AG2021

Shimura subvarieties in the Prym locus of ramified Galois coverings

Gian Paolo Grosselli, Abolfazl Mohajer

We study Shimura (special) subvarieties in the moduli space $A_{p, D}$ of complex abelian varieties of dimension $p$ and polarization type $D$ . These subvarieties arise from familie…

math.AG2021

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…

math.AG2021★ 1 cited

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…

math.AG2020

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…

math.AG2020★ 4 cited

On the Prym map of Galois covering

Abolfazl Mohajer

In this paper we consider the Prym variety $P (C / C)$ associated to a Galois coverings of curves $f : C \to C$ branched at $r$ points. We discuss some properties…

math.AG2020★ 1 cited

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 $A_{g}$ . This…

math.AG2019★ 2 cited

On metabelian galois coverings of complex algebraic varieties

Abolfazl Mohajer

Let $f : X \to Y$ 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…

math.AG2018

On Shimura subvarieties of the Prym locus

Abolfazl Mohajer

We show that families of Pryms of abelian Galois covers of $P^{1}$ in $A_{g - 1}$ (resp. $A_{g}$ ) do not give rise to high dimensional Shimura subvareties.

math.AG2014

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…

math.AG2014★ 2 cited

On Shimura subvarieties generated by families of abelian covers of $P^{1}$

Abolfazl Mohajer, Kang Zuo

We study the locus of abelian Galois covers of $P^{1}$ in $A_{g}$ and the problem of occurrence of Shimura (special) subvarieties generated by these covers in the Torelli…

Tropical covers, tropical abelian varieties and Prym varieties

On the Existence of Shimura curves in the Prym locus of abelian covers of projective line

Decomposition of Jacobian varieties and Shimura subvarieties in Ag​

On Shimura curves generated by families of Galois G-covers of curves

On Galois Coverings of curves and their Families

Families of Prym varieties of abelian coverings and Shimura varieties

Shimura subvarieties in the Prym locus of ramified Galois coverings

Twists of Albanese varieties over function fields with large ranks

Higher dimensional Shimura varieties in the Prym loci of ramified double covers

Rational points on abelian varieties over function fields and Prym varieties

On the Prym map of Galois covering

Shimura varieties and abelian covers of the line

On metabelian galois coverings of complex algebraic varieties

On Shimura subvarieties of the Prym locus

Special subvarieties in Mumford-Tate varieties

On Shimura subvarieties generated by families of abelian covers of P1

Decomposition of Jacobian varieties and Shimura subvarieties in $A_{g}$

On Shimura curves generated by families of Galois $G$ -covers of curves

On Shimura subvarieties generated by families of abelian covers of $P^{1}$