A Tannakian approach to patching

Abstract

We use Tannakian methods to show that patching for coherent sheaves implies patching for objects in any Noetherian algebraic stack with affine stabilizers. Among other things, this gives a straightforward way to prove patching for torsors under linear algebraic groups, as well as patching for sheaves and torsors on proper algebraic spaces.

15 pages, comments welcome at any time

References in corpus (1)

• Applications of patching to quadratic forms and central simple algebras