List questions from deformation-theory

Published on 01 Jun 2021 - 16:58

150

Views

Deformations of complex manifolds: Why is $T_t^{0,1} = \{v - \alpha_t(v) \,|\, v \in T^{0,1}\}$?

Published on 07 Jun 2021 - 11:03

62

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Grauert type theorem for artinian bases

Published on 11 Jun 2021 - 10:07

153

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Tangent Space and Deformations of an affine algebraic variety - Perrins' Book

Published on 14 Jun 2021 - 19:26

225

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Classification of smooth weak Fano three-folds

Published on 21 Jun 2021 - 9:45

115

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Every class in $H^1(X, \mathcal T_X)$ is a Kodaira-Spencer class?

Published on 28 Jun 2021 - 17:52

55

Views

$\mathbb C P^n - p \simeq \mathbb C P^{n-1}$ if $p \in \text {int} (D^{2n}).$

Published on 23 Feb 2026 - 15:16

96

Views

Complex structures given by a submersion vary holomorphically

Published on 07 Jul 2021 - 16:23

553

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Deformation of a vector bundle and cocycles

Published on 15 Jul 2021 - 22:26

65

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Extension of a scheme by the residue class field of one of its points

Published on 12 Aug 2021 - 22:13

150

Views

An example on Hochschild Cohomology Groups

Published on 25 Aug 2021 - 4:31

86

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Deformation of curves around $C$ with fibers that intersect $C$ differently?

Published on 10 Sep 2021 - 22:40

107

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Kernel of morphism of Kähler modules

Published on 17 Sep 2021 - 20:54

282

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Lifting of principal G-bundles

Published on 20 Oct 2021 - 7:14

199

Views

Elementary proof of injection from $\operatorname{Hom}(R, k[\varepsilon])$ to $\operatorname{Hom}_k(\mathfrak{m}_R /\mathfrak{m}_R^2, k)$

Published on 26 Oct 2021 - 11:58

List Question

Bloch's construction of the de Rham class of subvarieties

Deformations of complex manifolds: Why is $T_t^{0,1} = \{v - \alpha_t(v) \,|\, v \in T^{0,1}\}$?

Grauert type theorem for artinian bases

Tangent Space and Deformations of an affine algebraic variety - Perrins' Book

Classification of smooth weak Fano three-folds

Every class in $H^1(X, \mathcal T_X)$ is a Kodaira-Spencer class?

$\mathbb C P^n - p \simeq \mathbb C P^{n-1}$ if $p \in \text {int} (D^{2n}).$

Complex structures given by a submersion vary holomorphically

Deformation of a vector bundle and cocycles

Extension of a scheme by the residue class field of one of its points

An example on Hochschild Cohomology Groups

Deformation of curves around $C$ with fibers that intersect $C$ differently?

Kernel of morphism of Kähler modules

Lifting of principal G-bundles

Elementary proof of injection from $\operatorname{Hom}(R, k[\varepsilon])$ to $\operatorname{Hom}_k(\mathfrak{m}_R /\mathfrak{m}_R^2, k)$

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