• Corpus ID: 119173505

Grothendieck--Lefschetz type theorems for the local Picard group

  title={Grothendieck--Lefschetz type theorems for the local Picard group},
  author={J'anos Koll'ar},
  journal={arXiv: Algebraic Geometry},
  • 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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