etale covering
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Étale fundamental group — The étale fundamental group is an analogue in algebraic geometry, for schemes, of the usual fundamental group of topological spaces.Topological analogueIn algebraic topology, the fundamental group :pi 1(T) of a connected topological space T is… … Wikipedia
Étale morphism — In algebraic geometry, a field of mathematics, an étale morphism (pronunciation IPA|) is an algebraic analogue of the notion of a local isomorphism in the complex analytic topology. They satisfy the hypotheses of the implicit function theorem,… … Wikipedia
Branched covering — In mathematics, branched covering is a term mainly used in algebraic geometry, to describe morphisms f from an algebraic variety V to another one W , the two dimensions being the same, and the typical fibre of f being of dimension 0.In that case … Wikipedia
Jean-Pierre Serre — Jean Pierre Serre. Jean Pierre Serre (nacido el 15 de septiembre de 1926) es un matemático francés. Por sus contribuciones a la geometría algebraica, la teoría de números y la topología ha sido considerado uno de los matemáticos más prominentes… … Wikipedia Español
Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a … Wikipedia
Sheaf (mathematics) — This article is about sheaves on topological spaces. For sheaves on a site see Grothendieck topology and Topos. In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.… … Wikipedia
Glossary of scheme theory — This is a glossary of scheme theory. For an introduction to the theory of schemes in algebraic geometry, see affine scheme, projective space, sheaf and scheme. The concern here is to list the fundamental technical definitions and properties of… … Wikipedia
Flat topology — In mathematics, the flat topology is a Grothendieck topology used in algebraic geometry. It is used to define the theory of flat cohomology; it also has played a fundamental role in the theory of descent (faithfully flat descent). [… … Wikipedia
Fundamental group — In mathematics, the fundamental group is one of the basic concepts of algebraic topology. Associated with every point of a topological space there is a fundamental group that conveys information about the 1 dimensional structure of the portion of … Wikipedia
Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… … Wikipedia
Nisnevich topology — In algebraic geometry, the Nisnevich topology, sometimes called the completely decomposed topology, is a Grothendieck topology on the category of schemes which has been used in algebraic K theory, A¹ homotopy theory, and the theory of motives. It … Wikipedia
