Chern classes of crystals
Algebraic Geometry
2015-11-24 v1
Abstract
The crystalline Chern classes of the value of a locally free crystal vanish on a smooth variety defined over a perfect field. Out of this we conclude new cases of de Jong's conjecture relating the geometric \'etale fundamental group of a smooth projective variety defined over a perfect field and the triviality of its category of isocrystals. We also discuss the case of the Gau{\ss}-Manin convergent isocrystal.
Keywords
Cite
@article{arxiv.1511.06874,
title = {Chern classes of crystals},
author = {Hélène Esnault and Atsushi Shiho},
journal= {arXiv preprint arXiv:1511.06874},
year = {2015}
}
Comments
22 pages