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15
109
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Serre: coherent $\iff$ locally finitely presented, when sheaf coherent over itself

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#algebraic-geometry #sheaf-theory #coherent-sheaves
186
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Classify all coherent sheaves on $\mathbb{A}^1_k$

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#algebraic-geometry #sheaf-theory #schemes #coherent-sheaves #quasicoherent-sheaves
95
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Short exact sequence of vector bundles over $\mathbb{P}^1_k$.

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#algebraic-geometry #complex-geometry #vector-bundles #coherent-sheaves
70
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What do we know about moduli spaces of sheaves on $\mathbb{P}^n$?

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#algebraic-geometry #coherent-sheaves #moduli-space
47
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Kernel of an epimorphism of coherent sheaves on Noetherian schemes

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#algebraic-geometry #sheaf-theory #schemes #coherent-sheaves
87
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Show the fibers are geometrically connected

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#algebraic-geometry #coherent-sheaves #projective-varieties
72
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Why non-existence of Harder-Narasimhan filtrations for flat families of sheaves?

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#algebraic-geometry #coherent-sheaves
46
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Characterizing pushforwards of sheaves under Galois covers

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#algebraic-geometry #coherent-sheaves #derived-categories
49
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A property of invertible sheaves

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#algebraic-geometry #schemes #coherent-sheaves
27
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Is a Noetherian sheaf of rings stalkwise Noetherian?

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#algebraic-geometry #schemes #coherent-sheaves #coherent-rings
57
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Sheaves of modules isomorphic after pullback - when isomorphic in general?

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#algebraic-geometry #coherent-sheaves
92
Views

Lazarsfeld's proof of Mumford's regularity Theorem 1.8.3

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#algebraic-geometry #tensor-products #projective-space #sheaf-cohomology #coherent-sheaves
78
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Computing the Exceptional inverse image functor for some simple closed immersions

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#algebraic-geometry #sheaf-theory #coherent-sheaves #derived-categories
73
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Euler Characteristic of Sheaves

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#algebraic-geometry #coherent-sheaves
198
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Coherent sheaves, Serre’s theorem and ext groups

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#abstract-algebra #algebraic-geometry #category-theory #coherent-sheaves #graded-modules

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