Brauer groups in Stein geometry
Abstract
A Stein space is the analogue of an affine scheme in the category of complex-analytic spaces. I will explain how many of the fundamental results for the Brauer group of a noetherian ring have analogues for the (usually non-noetherian) ring of holomorphic functions on a Stein space. For instance, I will discuss a purity theorem for Stein manifolds. Joint work with Olivier Benoist.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Advanced Algebra and Geometry
Publication details
- Journal / source
- Open Collections
- Publication date
- 1 January 2026
- Language
- EN