Castelnuovo's contraction theorem
id:
castelnuovo-s-contraction-theorem-257-10767959
title:
Castelnuovo's contraction theorem
text:
In mathematics, Castelnuovo's contraction theorem is used in the classification theory of algebraic surfaces to construct the minimal model of a given smooth algebraic surface. More precisely, let X be a smooth projective surface over C and C a (−1)-curve on X , then there exists a morphism from X to another smooth projective surface Y such that the curve C has been contracted to one point P , and moreover this morphism is an isomorphism outside C . This contraction morphism is sometimes called
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wiki
category slug:
encyclopedia
description:
Constructs the minimal model of a given smooth algebraic surface
original url:
https://en.wikipedia.org/wiki/Castelnuovo%27s_contraction_theorem
date created:
date modified:
2020-08-30T01:08:50Z
main entity:
{"identifier":"Q25303824","url":"https://www.wikidata.org/entity/Q25303824"}
image:
fields total:
13
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14