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15
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Pushforward under Segre Embedding

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#algebraic-geometry #sheaf-theory
103
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Definition of Supermanifold

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#sheaf-theory #supergeometry #supermanifolds
85
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Questions about étale space construction of sheafification

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#algebraic-geometry #sheaf-theory #presheaves
77
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Why is $Ext_{\mathcal{S}}^{j}(H,G) = 0$ if $H$ is a free sheaf and $G$ a flabby sheaf?

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#algebraic-geometry #sheaf-theory #sheaf-cohomology
88
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How to show $(dx_1)_y,\cdots,(dx_r)_y$ generate a free submodule of rank $r$ of $\mathcal O_{X,y}$-module $(\Omega_{X/k})_y$?

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#algebraic-geometry #sheaf-theory
55
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When can we define the stalks of a sheaf?

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#category-theory #sheaf-theory #abelian-categories
56
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When is the pushforward of a sheaf isomorphic to the pullback along a section?

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#algebraic-geometry #sheaf-theory #schemes
25
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Sheaf on Empty Set in Zariski Topology over Spectrum of Integers

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#algebraic-geometry #commutative-algebra #category-theory #sheaf-theory
58
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Tensor with the pushforward of the stalk of the structure sheaf equals pushforward of the stalk: true in a more general case?

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#algebraic-geometry #sheaf-theory #schemes
238
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What exactly is a ringed space?

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#general-topology #algebraic-geometry #definition #intuition #sheaf-theory
99
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Why can $(f)\ge -D_0$ conclude that $f$ gives a global section of $\mathscr L(D_0)$ whose divisor of zeros is $D$?

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#algebraic-geometry #sheaf-theory
48
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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
69
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Definitions of the Atiyah class

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#algebraic-geometry #sheaf-theory #vector-bundles
61
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Fiber functors and lifting property of coverings

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#algebraic-topology #reference-request #sheaf-theory #fundamental-groups
50
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Is the quotient of separated presheaves separated?

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#sheaf-theory #presheaves

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