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Results tagged with deformation-theory
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user 13139
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
0
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T^1 functors and Ext^1 in deformation theory
Why are the first-order deformations of a scheme $X$ over a field $k$ given by $Ext^1_{\mathcal O_X}(\Omega_X,\mathcal O_X)$, where here I mean the Ext group?
Furthermore, for an integral affine sc …
- 2,108
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Hodge numbers of a Calabi-Yau 3-fold via deformation theory
In their paper "Calabi-Yau 3-folds and Moduli of Abelian Surfaces I", Gross and Popescu calculate the hodge numbers of smooth CY 3-folds obtained in the following way (see Remark 4.11 of their paper): …
- 2,108
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T^i functors are isomorphic for analytically isomorphic isolated singular points
I've been having trouble proving the following:
Let $B$ and $B'$ be local rings, essentially of finite type over $k$, having isolated singularities at the closed points. Suppose that they are analyti …
- 2,108