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118
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Cohen-Macaulay sheaves in Picard group of Cohen-Macaulay schemes

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#algebraic-geometry #commutative-algebra #coherent-sheaves #cohen-macaulay #algebraic-vector-bundles
254
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Construct a coherent subsheaf of a quasi-coherent sheaf

Published on
#abstract-algebra #algebraic-geometry #homological-algebra #coherent-sheaves #derived-categories
104
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Sheaves morphism on Blowing up Variety.

Published on
#sheaf-theory #vector-bundles #coherent-sheaves #blowup
74
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About Castelnuovo-Mumford Regularity

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#algebraic-geometry #sheaf-theory #sheaf-cohomology #coherent-sheaves
98
Views

All Harder-Narasimhan factors of $E$ are semistable with slope $\leq B \in \mathbb{R}$ implies $E$ semistable

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#algebraic-geometry #complex-geometry #vector-bundles #coherent-sheaves #geometric-invariant-theory
519
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Tautological bundle: algebraic geometry vs topology

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#algebraic-geometry #vector-bundles #coherent-sheaves #line-bundles
177
Views

Injective map on a coherent sheaf on a projective scheme must be an automorphism

Published on
#algebraic-geometry #proof-explanation #schemes #coherent-sheaves
138
Views

Blow up and morphism of locally free sheaves

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#algebraic-geometry #sheaf-theory #coherent-sheaves #blowup
96
Views

When is the image of a line bundle again a line bundle

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#algebraic-geometry #coherent-sheaves #line-bundles
127
Views

Sections of very ample line bundle

Published on
#algebraic-geometry #schemes #coherent-sheaves #line-bundles
80
Views

Weak embedded resolution (from Resolution of Singularities by Kollar)

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#algebraic-geometry #modules #schemes #coherent-sheaves
125
Views

Pushforward as integral functor for Azumaya varieties

Published on
#algebraic-geometry #derived-functors #coherent-sheaves #derived-categories
335
Views

Compatibility of tensor product and external tensor product in algebraic K-theory

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#algebraic-geometry #representation-theory #complex-geometry #coherent-sheaves #algebraic-k-theory
66
Views

Deformation of extensions

Published on
#algebraic-geometry #coherent-sheaves #deformation-theory
408
Views

Twisted sheaves in Hartshorne

Published on
#sheaf-theory #schemes #coherent-sheaves #projective-schemes

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