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Hochschild Cohomology of Differential Operators in Positive Characteristic by Mundinger, Joshua is a scholarly article available to read on EtoBox.

What is Hochschild Cohomology of Differential Operators in Positive Characteristic about?

For $k$ a field of positive characteristic and $X$ a smooth variety over $k$, we compute the Hochschild cohomology of Grothendieck's differential operators on $X$. The answer involves the derived inverse limit of the Frobenius acting on the cohomology of the structure sheaf of $X$.

Author

Mundinger, Joshua

Published

2023

Language

EN