Hochschild cohomology of differential operators in positive characteristic

Autor:	Mundinger, Joshua
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Rings and Algebras Mathematics - Representation Theory 14F10 (Primary) 16E40 14G17 (Secondary)
Zdroj:	Journal of Algebra 650, 2024, pp. 367-376
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jalgebra.2024.03.032
Popis:	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 $X$. Comment: 8 pages. Final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.07373 Zobrazit plný text záznamu View this record from Arxiv