Journal of the Ramanujan Mathematical Society

Volume 28A, Issue SPL, July – Special Issue 2013 pp. 267–285.

Grothendieck–Lefschetz type theorems for the local Picard group

Authors: János Kollár
Author institution: Department of Mathematics, Fine Hall, Washington Road, Princeton University, Princeton NJ 08544-1000, USA

Summary: 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.

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