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15
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natural bijection between set of morphisms of varieties and homomorphims of k-algebras

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#algebraic-geometry #schemes #coherent-sheaves
48
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Quartic in the projective space and exact sequence of sheaves

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#algebraic-geometry #sheaf-theory #exact-sequence #coherent-sheaves #projective-varieties
143
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Is $f^*E|_{f^{-1}(y)}$ a trivial sheaf for a holomorphic map $f: X\to Y$?

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#algebraic-geometry #complex-geometry #sheaf-theory #vector-bundles #coherent-sheaves
310
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Ringed space but not locally ringed space

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#algebraic-geometry #commutative-algebra #category-theory #schemes #coherent-sheaves
191
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Hartshorne problem III.4.10

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#algebraic-geometry #sheaf-theory #coherent-sheaves
99
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When two resolutions of coherent sheaves are homotopic

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#algebraic-geometry #reference-request #complex-geometry #vector-bundles #coherent-sheaves
146
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Homomorphism between coherent sheaves concentrated in one point

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#algebraic-geometry #sheaf-theory #coherent-sheaves
154
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Hartshorne Exercise II 6.11 (c): Grothendieck group of a nonsingular curve

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry #coherent-sheaves
122
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Embeddings of a surface that are given by linear systems of divisors

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#algebraic-geometry #surfaces #divisors-algebraic-geometry #coherent-sheaves #projective-varieties
73
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Proving that a rational function is a section of an invertible sheaf

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#algebraic-geometry #rational-functions #divisors-algebraic-geometry #coherent-sheaves #line-bundles
595
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Finiteness of cohomology of coherent sheaf for proper morphisms

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#algebraic-geometry #sheaf-cohomology #coherent-sheaves
56
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How "many" non-reduced spaces with smooth reduction are there?

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#algebraic-geometry #complex-geometry #several-complex-variables #coherent-sheaves
78
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How is the exterior power of a coherent sheaf is coherent?

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#algebraic-geometry #sheaf-theory #coherent-sheaves
419
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Vanishing of Ext groups of Coherent sheaves over Noetherian regular scheme

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#algebraic-geometry #schemes #derived-functors #coherent-sheaves #quasicoherent-sheaves
59
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Étale local universal sheaves

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#algebraic-geometry #coherent-sheaves #moduli-space

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