Grothendieck--Lefschetz type theorems for the local Picard group
Algebraic Geometry
2013-01-31 v2
Abstract
We propose a strengthening of the Grothendieck--Lefschetz hyperplane theorem for the local Picard group, prove some special cases and derive several consequences to the deformation theory of log canonical singularities. Version 2: Main conjecture changed, following recent results of Bhatt and de Jong. Small changes to the proofs.
Keywords
Cite
@article{arxiv.1211.0317,
title = {Grothendieck--Lefschetz type theorems for the local Picard group},
author = {János Kollár},
journal= {arXiv preprint arXiv:1211.0317},
year = {2013}
}