Maps between local Picard groups

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The paper investigates maps between local Picard groups. The main goal is to understand the kernel in two cases: pull-back to the normalization and restriction to a hyperplane section. We give suffcient (and almost necessary) conditions that guarantee that the kernel is finite or of finite type.

Original languageEnglish (US)
Pages (from-to)461-495
Number of pages35
JournalAlgebraic Geometry
Issue number4
StatePublished - Sep 1 2016

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology


  • Grothendieck-Lefschetz hyperplane theorem
  • Local Picard group
  • Normalization


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