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Results tagged with descent
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user 17988
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Les deux théorèmes d'existence en théorie formelle des modules
In Exposé 195 of the Séminaire Bourbaki, Grothendieck states the following two theorems of non-flat descent.
Theorem 1. … Then the morphism ${\rm Spec}(A')\to {\rm Spec}(A)$ is a morphism of strict $\mathcal{F}$-descent.
(See Sém. Bourbaki, Exp. 195 for undefined terms.) …
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Descent of functions along finite birational morphisms
In geometric terms, this is more or less equivalent to the question whether descent of functions along a finite, scheme-theoretically birational morphism is possible. … Here are some comments:
Of course, I'm mainly interested in the non-flat case (otherwise it's just faithfully flat descent). …
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