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15
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On free direct summand locus of finitely generated modules over commutative Noetherian rings

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#commutative-algebra #schemes #affine-schemes #coherent-sheaves #quasicoherent-sheaves
61
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Properties of the Lazarsfeld-Mukai vector bundle - Dualizing an exact sequence of vector bundles

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#algebraic-geometry #vector-bundles #coherent-sheaves #k3-surfaces
63
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2.3.A Zariski's construction (PAG1 - R. Lazarsfeld), big and nef divisor which is not finitely generated

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#algebraic-geometry #exact-sequence #divisors-algebraic-geometry #coherent-sheaves #line-bundles
62
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Pushforward of structure sheaf on quotient by finite group acting freely

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#algebraic-geometry #group-actions #coherent-sheaves
41
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Finding a good homogeneous coordinate ring for a smooth projective variety

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#algebraic-geometry #coherent-sheaves #projective-varieties #graded-algebras
53
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Support of the pushforward of structure sheaf of a smooth scheme along proper birational morphism

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#algebraic-geometry #commutative-algebra #schemes #coherent-sheaves
39
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Sections are determined by their germs at associated points

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#algebraic-geometry #sheaf-theory #schemes #affine-schemes #coherent-sheaves
45
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Basic algebraic geometry

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#algebraic-geometry #coherent-sheaves
562
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Projective dimension of a coherent sheaf in a short exact sequence

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#algebraic-geometry #sheaf-theory #schemes #coherent-sheaves
461
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Property of pullback of quasi-coherent sheaves

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#tensor-products #coherent-sheaves #affine-schemes #quasicoherent-sheaves #localization
95
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Definition of a $\mathcal{O}(a,b)$?

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#algebraic-geometry #coherent-sheaves #quasicoherent-sheaves
295
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Tensor product of coherent sheaf with the stalk of structure sheaf

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#schemes #coherent-sheaves #affine-schemes
889
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Perfect complexes and the derived category of a smooth projective variety

Published on
#category-theory #projective-schemes #sheaf-cohomology #coherent-sheaves #triangulated-categories
66
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derived versions of natural isomorphisms

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#algebraic-geometry #derived-functors #coherent-sheaves
98
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Action of $Aut(X)$ on $Coh(X)$

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#algebraic-geometry #category-theory #sheaf-theory #vector-bundles #coherent-sheaves

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