Deformation of $\ell$-adic sheaves with Undeformed Local Monodromy

Lei Fu

Deformation of $\ell$-adic sheaves with Undeformed Local Monodromy

Algebraic Geometry 2012-10-02 v3 Number Theory

Authors: Lei Fu

Abstract

Let $X$ be a smooth connected algebraic curve over an algebraically closed field $k$ . We study the deformation of $\ell$ -adic Galois representations of the function field of $X$ while keeping the local Galois representations at all places undeformed.

Keywords

ℓ-adic sheaves deformation local monodromy Galois representations algebraic curve

Cite

@article{arxiv.1103.1093,
  title  = {Deformation of $\ell$-adic sheaves with Undeformed Local Monodromy},
  author = {Lei Fu},
  journal= {arXiv preprint arXiv:1103.1093},
  year   = {2012}
}

Comments

21 pages. To appear in Journal of Number Theory

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