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$p_*(F) \simeq \prod_{s \in S} F_s$ where $F$ is a sheaf, $S$ is discrete space.

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#algebraic-geometry #sheaf-theory
306
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Symmetric power of Euler sequence

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#algebraic-geometry #sheaf-theory
560
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$\dim H^0(X, \mathcal{O}_D) \leq 1 + \deg D$ when $-1 \leq \deg D \leq g - 1$

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#algebraic-geometry #complex-geometry #sheaf-theory #riemann-surfaces #sheaf-cohomology
230
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$Hom(\mathscr{O}_U,\mathscr{I})=\mathscr I(U)$

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#algebraic-geometry #sheaf-theory
35
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Continuity of the module operations in the sheaf constructed out of a sheaf

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#differential-geometry #algebraic-topology #sheaf-theory
393
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Example of non-isomorphic sheaves, with isomorphic stalks at every point?

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#general-topology #algebraic-geometry #algebraic-topology #sheaf-theory
181
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Derived functors in the category of sheaves

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#sheaf-theory #derived-functors
228
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Degree of sub sheaf of locally free sheaf is bounded

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#abstract-algebra #algebraic-geometry #sheaf-theory #vector-bundles #algebraic-vector-bundles
234
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Describing homs and tensors of the square-root sheaf

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#algebraic-geometry #sheaf-theory #vector-bundles
137
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Inverse of the sheaf $\Omega_X$

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#tensor-products #complex-geometry #sheaf-theory #d-modules
368
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Constant sheaf takes disconnected set to product

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#general-topology #continuity #connectedness #sheaf-theory
887
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Product of sheaf of ideals

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#algebraic-geometry #modules #ideals #sheaf-theory
569
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Stalk of tensor product sheaf is tensor product of stalks via adjunctions and abstract nonsense

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#algebraic-geometry #tensor-products #sheaf-theory #limits-colimits #adjoint-functors
466
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Sheaf of Meromorphic Functions

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#complex-analysis #proof-verification #sheaf-theory #meromorphic-functions
195
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Sheaf Cohomology of Injective Sheaves respects Products

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#algebraic-geometry #sheaf-theory #sheaf-cohomology

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