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Proj construction

In algebraic geometry, Proj is a construction analogous to the spectrum-of-a-ring construction of affine schemes, which produces objects with the typical properties of projective spaces and projective varieties. The construction, while not functorial, is a fundamental tool in scheme theory.

Proj of a graded ring, Global Proj & Examples of Proj

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Overview

Proj of a graded ring

Examples of Proj

Global Proj

Example of Global Proj

Advanced semantic analysis

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Map overview Semantic statistics

Proj construction

Nodes56
Edges55
Triples18
Avg. degree1.96
Density0.035714
Components1

How this topic connects Entity context

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Proj construction

Top relations

related to Bigraded rings · 9
Proj construction → For, Geometrically, In, Proj, Spec, The, Then, There, This
related to Projective hypersurfaces and varieties · 6
Proj construction → Calabi, Fermat, In, Proj, The, Yau
related to Global Proj · 3
Proj construction → Proj, Proj's, This

Important terminology Word statistics

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Important terminology

displaystyle sheaf proj projective mathcal scheme construction operatorname graded mathbb ring ideal homogeneous degree elements form affine schemes space also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Proj constructionrelated to Bigraded ringsThe0.60section
Proj constructionrelated to Bigraded ringsGeometrically0.60section
Proj constructionrelated to Bigraded ringsFor0.60section
Proj constructionrelated to Bigraded ringsThen0.60section
Proj constructionrelated to Bigraded ringsProj0.60section
Proj constructionrelated to Bigraded ringsSpec0.60section
Proj constructionrelated to Bigraded ringsThere0.60section
Proj constructionrelated to Bigraded ringsThis0.60section
Proj constructionrelated to Bigraded ringsIn0.60section
Proj constructionrelated to Global ProjProj0.60section
Proj constructionrelated to Global ProjProj's0.60section
Proj constructionrelated to Global ProjThis0.60section

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    Min side: 3
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