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GIT quotient

In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec ⁡ A {\displaystyle X=\operatorname {Spec} A} with an action by a group scheme G is the affine scheme Spec ⁡ ( A G ) {\displaystyle \operatorname {Spec} (A^{G})} , the prime spectrum of the ring of invariants of A, and is denoted by X…

Overview, Pedagogical & Construction of a GIT quotient

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Overview

Construction of a GIT quotient

Examples

Pedagogical

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Map overview Semantic statistics

GIT quotient

Nodes38
Edges37
Triples15
Avg. degree1.95
Density0.052632
Components1

How this topic connects Entity context

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GIT quotient

Top relations

related to Torus action on plane · 7
GIT quotient → Consider, GIT, If, Note, Notice, Then, This
related to Construction of a GIT quotient · 4
GIT quotient → By, GIT, Let, Spec
related to Finite group action by Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } · 3
GIT quotient → GIT, Hence, Notice
is a · 1
GIT quotient → categorical quotient

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Important terminology

quotient displaystyle git geometric ring algebraic mathbb invariants categorical action group affine invariant one arxiv open geometry spec operatorname projective

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
GIT quotientis acategorical quotient0.90text
GIT quotientrelated to Construction of a GIT quotientLet0.60section
GIT quotientrelated to Construction of a GIT quotientBy0.60section
GIT quotientrelated to Construction of a GIT quotientSpec0.60section
GIT quotientrelated to Construction of a GIT quotientGIT0.60section
GIT quotientrelated to Finite group action by Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} }GIT0.60section
GIT quotientrelated to Finite group action by Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} }Notice0.60section
GIT quotientrelated to Finite group action by Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} }Hence0.60section
GIT quotientrelated to Torus action on planeConsider0.60section
GIT quotientrelated to Torus action on planeNote0.60section
GIT quotientrelated to Torus action on planeThen0.60section
GIT quotientrelated to Torus action on planeGIT0.60section

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    Min side: 3
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