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Canonical Isomorphism before Category Theory

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#abstract-algebra #category-theory #sheaf-theory
1.5k
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Why does the sheaf cohomology of the constant sheaf on $\mathbb{R}$ vanish?

Published on
#algebraic-geometry #sheaf-theory #sheaf-cohomology
516
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Canonical Divisor of Product of Smooth Curves is Ample

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#algebraic-geometry #sheaf-theory
436
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Functor from the category of varieties to the category of schemes.

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#algebraic-geometry #sheaf-theory #schemes #affine-varieties
745
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Pullback morphism of structure sheaves induced by a morphism of schemes

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#algebraic-geometry #sheaf-theory #schemes
427
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Blow up of $\mathbb{P}^2$ in a point and direct image sheaves

Published on
#algebraic-geometry #sheaf-theory #blowup #pushforward
202
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The definition of the cohomology of an Abelian sheaf

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#algebraic-geometry #homology-cohomology #sheaf-theory #sheaf-cohomology
844
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Surjective homomorphism from the pullback of the pushforward of a quasi-coherent sheaf to itself

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#algebraic-geometry #sheaf-theory
404
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Do any authors take the sheaf-theoretic viewpoint on multivalued functions and/or indefinite integrals?

Published on
#calculus #real-analysis #complex-analysis #sheaf-theory #multivalued-functions
211
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Theorem on Formal Function Hartshorne

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#algebraic-geometry #sheaf-theory
427
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Pullback of Globally Generated Invertible Sheaf

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#algebraic-geometry #sheaf-theory
134
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Theorem of Formal Functions Hartshorne

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#algebraic-geometry #sheaf-theory
58
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Comparing cohomologies of $\mathcal{O}_X$ and $\mathcal{O}_{X_\text{red}}$

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#algebraic-geometry #sheaf-theory #sheaf-cohomology
304
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Exact sequence of sheaves in Serre's "Faisceaux algebriques coherents"

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#algebraic-geometry #sheaf-theory #sheaf-cohomology
145
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What does it mean that a prime number "$l$" is invertible in a scheme X?

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#algebraic-geometry #sheaf-theory #schemes

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