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math.AG2019
Difference sheaves and torsors
Marcin Chałupnik, Piotr Kowalski
We develop sheaf theory in the context of difference algebraic geometry. We introduce categories of difference sheaves and develop the appropriate cohomology theories. As specializ…
math.AG2016★ 4 cited
Difference modules and difference cohomology
Marcin Chalupnik, Piotr Kowalski
We give some basics about homological algebra of difference representations. We consider both the difference-discrete and the difference-rational case. We define the corresponding…
math.AG2015★ 2 cited
A note on integrating group scheme actions
Daniel Hoffmann, Piotr Kowalski
We prove a non-integrability result concerning iterative derivations on projective line, where the iterative rule is given by a non-algebraic formal group.