Descent along torsors
id:
descent-along-torsors-233-10333010
title:
Descent along torsors
text:
In mathematics, given a G-torsor X → Y and a stack F, the descent along torsors says there is a canonical equivalence between F(Y), the category of Y-points and F(X)G, the category of G-equivariant X-points. It is a basic example of descent, since it says the "equivariant data" (which is an additional data) allows one to "descend" from X to Y. When G is the Galois group of a finite Galois extension L/K, for the G-torsor Spec L → Spec K , this generalizes classical Galois descent (cf. field o
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Descent_along_torsors
date created:
date modified:
2022-09-01T16:55:47Z
main entity:
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