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15
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Presheaf problem

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#general-topology #category-theory #sheaf-theory #fiber-bundles #topos-theory
85
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trace and determinant of vector bundles in cohomology

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#algebraic-geometry #sheaf-theory #vector-bundles #moduli-space
86
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Is there a name for the following important group of line bundles with rational sections?

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#algebraic-geometry #sheaf-theory #schemes #divisors-algebraic-geometry #line-bundles
102
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Locally ringed spaces over field

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#algebraic-geometry #sheaf-theory
132
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Inverse image - direct image adjunction

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#sheaf-theory #adjoint-functors #functors #presheaves
115
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Jean-Pierre Serre's notation: $ \mathscr H_{x, U} $

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#algebraic-geometry #notation #analytic-geometry #sheaf-theory
110
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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
187
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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
66
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Notation in Siu's paper

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#notation #complex-geometry #sheaf-theory #several-complex-variables
69
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Quasi-coherent sheaves on a complex manifold form an abelian category?

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#complex-geometry #sheaf-theory #quasicoherent-sheaves
18
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Constructing "maximal" quotient that is a local system on $\mathbb{C}^×$

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#sheaf-theory #derived-categories #local-systems
81
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Nearby cycle complex of a scheme over a DVR with finite number of singularities

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#algebraic-geometry #sheaf-theory #derived-functors #etale-cohomology #derived-categories
91
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Tensor operations on sheaves

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#algebraic-geometry #sheaf-theory #schemes
86
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Question for exercise IV.3.6 b) Hartshorne

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#algebraic-geometry #sheaf-theory #algebraic-curves #sheaf-cohomology
123
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For the sheaf $\mathscr{F}^+$ associated to the presheaf $\mathscr{F}$, how to prove $\mathscr{F}^+_P=\mathscr{F}_P$?

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#algebraic-geometry #sheaf-theory #presheaves

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