exceptional subvariety

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Exceptional divisor — In mathematics, specifically algebraic geometry, an exceptional divisor for a regular map f: X ightarrow Y of varieties is a kind of large subvariety of X which is crushed by f, in a certain definite sense.More precisely, suppose that f: X… … Wikipedia
Resolution of singularities — Strong desingularization of Observe that the resolution does not stop after the first blowing up, when the strict transform is smooth, but when it is simple normal crossings with the exceptional divisors. In algebraic geometry, the problem of… … Wikipedia
Blowing up — This article is about the mathematical concept of blowing up. For information about the physical/chemical process, see Explosion. For other uses of Blow up , see Blow up (disambiguation). Blowup of the affine plane. In mathematics, blowing up or… … Wikipedia
General linear group — Group theory Group theory … Wikipedia
Species — In biology, a species is one of the basic units of biological classification and a taxonomic rank. A species is often defined as a group of organisms capable of interbreeding and producing fertile offspring. While in many cases this definition is … Wikipedia
Hilbert scheme — In algebraic geometry, a branch of mathematics, a Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space (or a more general scheme), refining the Chow variety. The Hilbert scheme is a disjoint… … Wikipedia

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