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Homogeneous coordinate ring

In algebraic geometry, the homogeneous coordinate ring is a certain commutative ring assigned to any projective variety. If V is an algebraic variety given as a subvariety of projective space of a given dimension N, its homogeneous coordinate ring is by definition the quotient ring

Resolutions and syzygies, Projective normality & Formulation

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Overview

Formulation

Resolutions and syzygies

Regularity

Projective normality

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Map overview Semantic statistics

Homogeneous coordinate ring

Nodes61
Edges60
Triples16
Avg. degree1.97
Density0.032787
Components1

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Homogeneous coordinate ring

Top relations

related to Projective normality · 15
Homogeneous coordinate ring → Alternatively, Another, For, Green, Lazarsfeld, Linear, Looking, N0, OV, Projective, Serre, The, Then, This, Veronese
is a · 1
Homogeneous coordinate ring → certain commutative ring assigned to any projective variety

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Important terminology

projective variety homogeneous coordinate ring space given may resolution free normal ideal definition graded module algebraic polynomial normality minimal linear

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Homogeneous coordinate ringis acertain commutative ring assigned to any projective variety0.90text
Homogeneous coordinate ringrelated to Projective normalityThe0.60section
Homogeneous coordinate ringrelated to Projective normalityThis0.60section
Homogeneous coordinate ringrelated to Projective normalityAnother0.60section
Homogeneous coordinate ringrelated to Projective normalityAlternatively0.60section
Homogeneous coordinate ringrelated to Projective normalitySerre0.60section
Homogeneous coordinate ringrelated to Projective normalityOV0.60section
Homogeneous coordinate ringrelated to Projective normalityThen0.60section
Homogeneous coordinate ringrelated to Projective normalityLinear0.60section
Homogeneous coordinate ringrelated to Projective normalityProjective0.60section
Homogeneous coordinate ringrelated to Projective normalityVeronese0.60section
Homogeneous coordinate ringrelated to Projective normalityLooking0.60section

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