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Results tagged with descent
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user 3927
5
votes
Accepted
Do coequalizers in RingSpc automatically lead to descent?
Then $C$ := Spec($R^G$) is easily checked to be the coequalizer in the category of schemes (even in the category of locally ringed spaces), yet the descent diagram (if true) would say that for any $G$- … , for which everything does work exactly as in the familiar case of Galois descent for vector spaces over fields.] …
9
votes
Accepted
Simplifying the definition of a geometric context using sieves?
issue of the use of fiber squares in arguments involving properties of morphisms, such as come up in many of the basic constructions in algebraic geometry (Hilbert schemes, quotients by group actions, descent …
- 7,108
10
votes
Does projectiveness descend along field extensions?
The entirety of sections 8--12 (apart from 10) of EGA IV is devoted to fleshing out in remarkably exhaustive and elegant generality the entire yoga of "spreading out and specialization" of which this …
- 7,108