On the generalisation of cohomology with compact support to non-finite type schemes

2019/02/13 by Hamacher, Paul · 1 citation
#14A15 #14F05 #14F20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.04831

Abstract

In this article we extend Deligne's construction of Grothendieck's six operations on the derived category of torsion sheaves over the étale site of a scheme for morphisms of finite type to a larger class of morphisms. This class includes profinite étale coverings as well as separated morphisms perfectly of finite type

Cited by

• Six-Functor Formalisms

Related

• Points in algebraic geometry
• Nonstandard Etale Cohomology
• Morphing etale spaces
• The pro-étale topology for schemes
• Étale cohomology of algebraizable rigid analytic varieties via nearby cycles over general bases