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. In this article, all rings will be assumed to be commutative and with identity.
Algebraic geometry of projective spacesBlowing upCanonical bundleChern classCoherent sheafComplex projective spaceCone (algebraic geometry)GIT quotientGPlatesGeometric genusGlobal ProjGlobal projGlossary of algebraic geometryGraded ringHeight functionHilbert series and Hilbert polynomialHirzebruch surfaceHomogeneous coordinate ringIrrelevant idealKodaira dimensionLinear system of divisorsList of algebraic constructionsList of things named after Jean-Pierre SerreLocal cohomologyMirror symmetry conjectureMorphism of schemesNef line bundleNoncommutative algebraic geometryO(n)ProjProjective bundleProjective spaceProjective varietyProjectivizationRees algebraRelative ProjScheme (mathematics)Serre's twisting sheafSerre twist sheafSerre twisting sheaf
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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. In this article, all rings will be assumed to be commutative and with identity.
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In algebraic geometry, Proj is ...... commutative and with identity.
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Proj — это конструкция, аналог ...... тативными кольцами с единицей.
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У алгебричній геометрії констр ...... тативними кільцями з одиницею.
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In algebraic geometry, Proj is ...... commutative and with identity.
@en
Proj — это конструкция, аналог ...... тативными кольцами с единицей.
@ru
У алгебричній геометрії констр ...... тативними кільцями з одиницею.
@uk
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Proj construction
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Конструкция Proj
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Конструкція Proj
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사영 스펙트럼
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