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.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology
- Grothendieck-Lefschetz hyperplane theorem
- Local Picard group