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The definition of a k-rational point on a scheme over a field.

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#algebraic-geometry
265
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Closed subscheme from Ideals on affine open subsets

Published on
#algebraic-geometry
258
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Does $\mathsf{Top}$ have interesting Grothendieck topologies, and do they have applications?

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#general-topology #algebraic-geometry #algebraic-topology #sheaf-theory #grothendieck-topologies
333
Views

the section of $\mathcal O(E)$ of the exceptional divisor

Published on
#algebraic-geometry #complex-geometry
574
Views

Chern class of line bundle of principal divisor

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#algebraic-geometry #complex-geometry
51
Views

Nice way of categorically describing the set of elements which satisfy at least one polynomial equation in a system?

Published on
#number-theory #algebraic-geometry #commutative-algebra #algebraic-number-theory
248
Views

Noetherian $R$-algebra corresponds to a coherent sheaf of rings on $\operatorname{Spec}(R)$

Published on
#proof-verification #algebraic-geometry #category-theory #sheaf-theory #coherent-sheaves
1.9k
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Blow up and relationship between tangents sheaves

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#algebraic-geometry #sheaf-theory #coherent-sheaves
151
Views

The closure of graph of dense open sets

Published on
#algebraic-geometry
52
Views

Equivalent definitions of $\mathcal{O}_X$ module of finite type

Published on
#algebraic-geometry #sheaf-theory #schemes
180
Views

Image of linear morphism of affine variety is closed

Published on
#algebraic-geometry
354
Views

Pullback of ample by generically finite is big

Published on
#algebraic-geometry
77
Views

Algebraic Space in the sense of Serre.

Published on
#algebraic-geometry
73
Views

Finding the equation for image of a map

Published on
#algebraic-geometry
184
Views

Support of a sheaf need not be closed

Published on
#general-topology #algebraic-geometry #sheaf-theory

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