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15
133
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Theorem about Deformation Theory

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#algebraic-geometry #schemes #deformation-theory
70
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Degree of projective curve related to its reduction

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#algebraic-geometry #schemes #projective-schemes
42
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Scheme of finite Krull dimension, with a closed point, whose closed subsets are all comparable

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#sheaf-theory #schemes #sheaf-cohomology #affine-schemes #krull-dimension
1.1k
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Pure Dimension of a Intersection Variety (from Mumford's Red Book)

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#algebraic-geometry #schemes
1.3k
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Purely Inseparable Morphism of Schemes (Ex. from Liu's "AG & AC")

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#algebraic-geometry #schemes
501
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Understanding $\mathbf{Proj}$

Published on
#algebraic-geometry #schemes #projective-schemes
92
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vanishing of higher de Rham complex/cohomology of scheme without regularity/smoothness condition

Published on
#reference-request #schemes #singularity-theory #de-rham-cohomology #d-modules
286
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Generalization of Normalization

Published on
#algebraic-geometry #schemes
64
Views

What module is $\Bbb{C}[x,y](n)_{(x)}$? Serres twisting sheaf $\mathcal{O}(n)|_{D_+(x)}$

Published on
#abstract-algebra #algebraic-geometry #sheaf-theory #schemes
208
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Does the fiber cardinality increase under specialization over a finite field?

Published on
#algebraic-geometry #finite-fields #schemes
187
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Isomorphism of sheaves of rings

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#algebraic-geometry #sheaf-theory #schemes #affine-schemes
295
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Epimorphisms of schemes

Published on
#category-theory #schemes #affine-schemes
431
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Monomorphism & epimorphism in the category of schemes

Published on
#category-theory #schemes #monomorphisms #epimorphisms
117
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When do global sections of a $\mathcal{O}_X$-Module $\mathcal{F}$ that generate $\mathcal{F}_x$ also generate $\mathcal{F}$ in a neighborhood of $x$?

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#algebraic-geometry #sheaf-theory #schemes
109
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Minimal closed embedding of singular projective curve into some projective space

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#algebraic-geometry #algebraic-curves #projective-geometry #schemes #projective-varieties

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