Abstract
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 language | English (US) |
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Pages (from-to) | 461-495 |
Number of pages | 35 |
Journal | Algebraic Geometry |
Volume | 3 |
Issue number | 4 |
DOIs | |
State | Published - Sep 1 2016 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology
Keywords
- Grothendieck-Lefschetz hyperplane theorem
- Local Picard group
- Normalization