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$\operatorname{Hom}(f^*F, G) = \operatorname{Hom}(F, f_*G)$

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#sheaf-theory #sheaf-cohomology #coherent-sheaves
102
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Associated sheaf to a $\mathbb{C}$-module

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#algebraic-geometry #modules #sheaf-theory #schemes #coherent-sheaves
1.7k
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Source: Coherent locally free sheaves and projective modules

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#algebraic-geometry #reference-request #schemes #coherent-sheaves
125
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Extension of morphism of Coherent sheaves over the projective space

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#algebraic-geometry #commutative-algebra #coherent-sheaves
770
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When is the morphism between global sections surjective

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#algebraic-geometry #coherent-sheaves
1.3k
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Pullback of an ample line bundle through a projection

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#algebraic-geometry #algebraic-curves #coherent-sheaves
243
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Calculating the rank of $\widetilde{k[t]/(t)}$ on $Spec(k[t])$

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#algebraic-geometry #sheaf-theory #schemes #coherent-sheaves
479
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Hartshorne II.5.1. - Circumventing stalks

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#algebraic-geometry #coherent-sheaves
336
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Switching between Chern classes and characters for coherent sheaves

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#algebraic-geometry #symmetric-polynomials #characteristic-classes #coherent-sheaves
256
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Cech cohomology and Bézout's Theorem

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#algebraic-geometry #sheaf-cohomology #coherent-sheaves
884
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Structure sheaf of support of coherent sheaf

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#algebraic-geometry #schemes #coherent-sheaves
375
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Local-to-Global Spectral Sequence for locally free resolution

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#sheaf-cohomology #spectral-sequences #coherent-sheaves
304
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Tensor product of coherent sheaves on projective n-space

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#algebraic-geometry #tensor-products #coherent-sheaves
460
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Hirzebruch–Riemann–Roch for coherent sheaves?

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#algebraic-geometry #homology-cohomology #sheaf-theory #sheaf-cohomology #coherent-sheaves
242
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How can I compute simple examples of the associated vector bundle to a coherent sheaf?

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#algebraic-geometry #commutative-algebra #vector-bundles #coherent-sheaves

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