GIT quotient

id: git-quotient-318-8370437
title: GIT quotient
text: In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec ⁡ A with an action by a group scheme G is the affine scheme Spec ⁡ , the prime spectrum of the ring of invariants of A, and is denoted by X / / G . A GIT quotient is a categorical quotient: any invariant morphism uniquely factors through it. Taking Proj instead of Spec , one obtains a projective GIT quotient A GIT quotient is a categorical quotient of the locus of semistable
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original url: https://en.wikipedia.org/wiki/GIT_quotient
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date modified: 2023-04-28T17:55:35Z
main entity: {"identifier":"Q17097947","url":"https://www.wikidata.org/entity/Q17097947"}
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