Why certain Tannaka groups attached to abelian varieties are almost connected
Algebraic Geometry
2015-10-27 v3
Abstract
We show that for a complex abelian variety X a certain Tannaka group G(X) attached to X is a pro-reductive group whose group of connected components is abelian, and hence isomorphic to the etale pro-finite abelian fundamental group of the dual abelian variety of X.
Keywords
Cite
@article{arxiv.1207.4039,
title = {Why certain Tannaka groups attached to abelian varieties are almost connected},
author = {Rainer Weissauer},
journal= {arXiv preprint arXiv:1207.4039},
year = {2015}
}
Comments
version 2: The main results now are shown also over finite fields and a new section 10 (classification of invertible objects) has been added. The previous appendix with its applications for the reference [W] has been deleted from the paper to become an appendix in [W] itself; besides that typos have been removed and the presentation has been partially improved