Computing the cohomology of constructible \'etale sheaves on curves

Autor:	Levrat, Christophe
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 14F20 11G20 11Y16 03D99
Druh dokumentu:	Working Paper
Popis:	We present an explicit expression of the cohomology complex of a constructible sheaf of abelian groups on the small \'etale site of an irreducible curve over an algebraically closed field, when the torsion of the sheaf is invertible in the field. This expression only involves finite groups, and is functorial in both the curve and the sheaf. In particular, we explain how to compute the Galois action on this complex. We also present an algorithm which computes it and study its complexity.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.03283 Zobrazit plný text záznamu View this record from Arxiv