Difference sheaves and torsors
Volume 260 / 2023
Fundamenta Mathematicae 260 (2023), 111-161
MSC: Primary 12H10; Secondary 18F20, 20G10.
DOI: 10.4064/fm66-8-2022
Published online: 27 October 2022
Abstract
We develop sheaf theory in the context of difference algebraic geometry. We introduce categories of difference sheaves and develop the appropriate cohomology theories. As specializations, we get difference Galois cohomology, difference Picard group and a good theory of difference torsors.
