Difference sheaves and torsors
Tom 260 / 2023
Fundamenta Mathematicae 260 (2023), 111-161
MSC: Primary 12H10; Secondary 18F20, 20G10.
DOI: 10.4064/fm66-8-2022
Opublikowany online: 27 October 2022
Streszczenie
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.