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arXiv 2013-02-13 0 views

Lefschetz for local Picard groups

Bhatt, Bhargav · de Jong, Aise Johan

Original · EN

We prove a strengthening of the Grothendieck-Lefschetz hyperplane theorem for local Picard groups conjectured by Kollár. 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.

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