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searching for Étale topology 10 found (41 total)

Étale homotopy type (247 words) [view diff] exact match in snippet view article find links to article

simplicial set which captures some information related to X and the étale topology of it. Slightly more precisely, it is in general necessary to work with

Étale topos (321 words) [view diff] exact match in snippet view article find links to article

turn induces a Grothendieck topology, the étale topology on X. The category together with the étale topology on it is called the étale site on X. The étale

Lefschetz pencil (424 words) [view diff] exact match in snippet view article find links to article

been shown that Lefschetz pencils exist in characteristic p for the étale topology. Simon Donaldson has found a role for Lefschetz pencils in symplectic

Universal homeomorphism (152 words) [view diff] exact match in snippet view article find links to article

l'IHÉS. 32. doi:10.1007/bf02732123. MR 0238860. Universal homeomorphisms and the étale topology Do pushouts along universal homeomorphisms exist? v t e

Michael Artin (870 words) [view diff] case mismatch in snippet view article find links to article

and Antwerp, Belgium. He was invited to give a talk on the topic "The Étale Topology of Schemes" at the International Congress of Mathematicians in 1966

Étale fundamental group (1,622 words) [view diff] exact match in snippet view article find links to article

S2CID 119146164. (Tamagawa 1997) Bhatt, Bhargav; Scholze, Peter (2015), "The pro-étale topology for schemes", Astérisque: 99–201, arXiv:1309.1198, Bibcode:2013arXiv1309

Hironaka's example (1,237 words) [view diff] exact match in snippet view article find links to article

B to A given by x → x2. Think of B as an open covering of U for the étale topology. If V is a complete scheme with a fixed point free action of a group

Étale cohomology (5,016 words) [view diff] exact match in snippet view article find links to article

for the Zariski topology, so this is one place where the use of the étale topology rather than the Zariski topology is essential. By fixing a primitive

Glossary of category theory (10,466 words) [view diff] exact match in snippet view article find links to article

Definition 7.2.1. in Bhatt, Bhargav; Scholze, Peter (2015), "The pro-étale topology for schemes", Astérisque: 99–201, arXiv:1309.1198, Bibcode:2013arXiv1309

Algebraic K-theory (10,382 words) [view diff] exact match in snippet view article find links to article

Dwyer and Eric Friedlander then invented an analog of K-theory for the étale topology called étale K-theory. For varieties defined over the complex numbers