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searching for Faithfully flat descent 5 found (12 total)

Descent (mathematics) (914 words) [view diff] no match in snippet view article

In mathematics, the idea of descent extends the intuitive idea of 'gluing' in topology. Since the topologists' glue is the use of equivalence relations

Flat topology (1,100 words) [view diff] exact match in snippet view article find links to article

cohomology; it also plays a fundamental role in the theory of descent (faithfully flat descent). The term flat here comes from flat modules. There are several

Beck's monadicity theorem (1,052 words) [view diff] exact match in snippet view article find links to article

Alexander Grothendieck's approach to algebraic geometry. Most cases of faithfully flat descent of algebraic structures (e.g. those in FGA and in SGA1) are special

Fiber product of schemes (1,185 words) [view diff] exact match in snippet view article find links to article

morphisms. These results form part of Grothendieck's theory of faithfully flat descent. Example: for any field extension k ⊂ E, the morphism Spec(E) →

Glossary of arithmetic and diophantine geometry (4,736 words) [view diff] no match in snippet view article find links to article

foundational topos for scheme theory goes back to the fact of faithfully-flat descent, the discovery of Grothendieck that the representable functors