List questions from deformation-theory

Published on 22 Mar 2026 - 19:38

127

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Definition of a deformation of schemes in Grothendieck's FGA explained:Fantechi.

Published on 03 Sep 2019 - 0:52

1.1k

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deformation retraction of the torus with 1 pt. deleted onto 2 circles intersecting at a pt. and that of $\mathbb R^n \setminus \{0\}$ onto $S^{n-1}$.

Published on 23 Feb 2026 - 4:47

285

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Cotangent complex of dual numbers

Published on 22 Mar 2026 - 1:36

98

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Why some authors take $A[[t]]$ as $A \otimes_k k[[t]]$ when defining formal deformations?

Published on 23 Sep 2019 - 8:55

57

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unobstructed hypersurfaces in $\mathbb{P}^3$

Published on 29 Mar 2014 - 17:42

635

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Difference between Kuranishi's existence theorem and Kodaira-Spencer's version.

Published on 25 Mar 2026 - 6:02

679

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Difference between isomorphisms, deformations, diffeomorphisms and homeomorphis,s

Published on 09 Jun 2014 - 20:46

342

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Infinitesimal deformation of coherent sheaves

Published on 22 Mar 2026 - 17:15

430

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Lifting vector bundles along thickenings

Published on 22 Mar 2026 - 6:20

468

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A reference on Kodaira-Spencer deformation theory

Published on 22 Mar 2026 - 20:34

73

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deformation space inside cohomology

Published on 22 Mar 2026 - 2:42

171

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Question about homotopy equivalence

Published on 22 Mar 2026 - 6:05

160

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Example of Obstructed Galois Deformation Problem

Published on 25 Mar 2026 - 3:07

74

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Complex structure deformations of toric Calabi-Yau 3-folds

Published on 01 Dec 2019 - 23:13

List Question

A small discussion about Hatcher Q.1, chapter 0

Definition of a deformation of schemes in Grothendieck's FGA explained:Fantechi.

deformation retraction of the torus with 1 pt. deleted onto 2 circles intersecting at a pt. and that of $\mathbb R^n \setminus \{0\}$ onto $S^{n-1}$.

Cotangent complex of dual numbers

Why some authors take $A[[t]]$ as $A \otimes_k k[[t]]$ when defining formal deformations?

unobstructed hypersurfaces in $\mathbb{P}^3$

Difference between Kuranishi's existence theorem and Kodaira-Spencer's version.

Difference between isomorphisms, deformations, diffeomorphisms and homeomorphis,s

Infinitesimal deformation of coherent sheaves

Lifting vector bundles along thickenings

A reference on Kodaira-Spencer deformation theory

deformation space inside cohomology

Question about homotopy equivalence

Example of Obstructed Galois Deformation Problem

Complex structure deformations of toric Calabi-Yau 3-folds

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