Theorem of absolute purity
id:
theorem-of-absolute-purity-292-17154142
title:
Theorem of absolute purity
text:
In algebraic geometry, the theorem of absolute (cohomological) purity is an important theorem in the theory of étale cohomology. It states: given a regular scheme X over some base scheme, i : Z → X a closed immersion of a regular scheme of pure codimension r,
an integer n that is invertible on the base scheme, F a locally constant étale sheaf with finite stalks and values in Z / n Z , for each integer m ≥ 0 , the map is bijective, where the map is induced by cup product with c r . The theorem wa
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical theorem
original url:
https://en.wikipedia.org/wiki/Theorem_of_absolute_purity
date created:
date modified:
2023-12-20T13:25:49Z
main entity:
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fields total:
13
integrity:
14