Construction of Abelian varieties with given monodromy

Oliver Bueltel

Construction of Abelian varieties with given monodromy

Algebraic Geometry 2013-05-07 v1

Authors: Oliver Bueltel

Abstract

Let $\rho$ be a finite-dimensional faithful representation of a semisimple algebraic group $G$ . By means of a deformation argument, we show that there exists a family of Abelian varieties over a smooth and projective curve over the algebraic closure of a prime field of positive characteristic, such that its $\ell$ -adic monodromy group covers $G$ and its $\ell$ -adic monodromy representation contains $\rho$ .

Keywords

abelian varieties abelian groups abel-jacobi theory

Cite

@article{arxiv.1305.1024,
  title  = {Construction of Abelian varieties with given monodromy},
  author = {Oliver Bueltel},
  journal= {arXiv preprint arXiv:1305.1024},
  year   = {2013}
}

Comments

This note is a juxtaposition of my Habilitation thesis (Geom. funct. anal. 15(2005) p.634-696) and a seminar given on it (Oberwolfach reports 1(2004) p.1983-1985)

Construction of Abelian varieties with given monodromy

Abstract

Keywords

Cite

Comments

Related papers