Lefschetz for local Picard groups
Algebraic Geometry
2013-02-14 v1 Commutative Algebra
Abstract
We prove a strengthening of the Grothendieck-Lefschetz hyperplane theorem for local Picard groups conjectured by Koll\'ar. Our approach, which relies on acyclicity results for absolute integral closures, also leads to a restriction theorem for higher rank bundles on projective varieties in positive characteristic.
Cite
@article{arxiv.1302.3189,
title = {Lefschetz for local Picard groups},
author = {Bhargav Bhatt and Aise Johan de Jong},
journal= {arXiv preprint arXiv:1302.3189},
year = {2013}
}
Comments
10 pages, comments welcome