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Results tagged with deformation-theory
Search options questions only
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user 4721
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
10
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2
answers
3k
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Kodaira-Spencer map in a concrete instance
Let $\pi:X_{\epsilon} \rightarrow \Delta$ be a family of (say smooth) projective plane curves parametrized by $\Delta:=\operatorname{Spec}(k[\epsilon])$, and let $X=X_0$ be the closed fiber.
Suppose t …
- 23.3k
12
votes
2
answers
1k
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Geometric meaning of small extensions ?
Let $(A,\mathfrak{m}_A)$ be a local Artinian $k$-algebra with residue field $k$. Then the scheme $\mathrm{Spec}(A)$ can be loosely seen as a "fat point", or an "infinitesimal neighbourhood" of a point …
- 23.3k
5
votes
2
answers
841
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About Kodaira's book on deformations
I happened to read the following sentence in the blog by the physicist Jacques Distler:
"What makes Kodaira’s Complex Manifolds and Deformation of Complex Structures such a delight to read is that …
- 23.3k
5
votes
2
answers
767
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Are linear algebraic groups rigid?
The underlying variety of a linear elgebraic group (say, over an algebraically closed field) is affine, so doesn't have nontrivial (infinitesimal) deformations. I'm curious to know whether it's possi …
- 23.3k