English

Algebraic and Nori fundamental gerbes

Algebraic Geometry 2019-06-19 v2 Number Theory

Abstract

In this paper we extend the generalized algebraic fundamental group constructed by Esnault and Hogadi to general fibered categories using the language of gerbes. As an application we obtain a Tannakian interpretation for the Nori fundamental gerbe defined by Borne and Vistoli for non smooth non pseudo-proper algebraic stacks.

Keywords

Cite

@article{arxiv.1605.01332,
  title  = {Algebraic and Nori fundamental gerbes},
  author = {Fabio Tonini and Lei Zhang},
  journal= {arXiv preprint arXiv:1605.01332},
  year   = {2019}
}

Comments

37 pages