• Corpus ID: 119173505

# Grothendieck--Lefschetz type theorems for the local Picard group

@article{Kollar2012GrothendieckLefschetzTT,
title={Grothendieck--Lefschetz type theorems for the local Picard group},
author={J'anos Koll'ar},
journal={arXiv: Algebraic Geometry},
year={2012}
}
• J. Koll'ar
• Published 1 November 2012
• Mathematics
• arXiv: Algebraic Geometry
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.
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