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Results tagged with deformation-theory
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user 5101
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
9
votes
2
answers
917
views
Specialisation of rigid varieties
Recall that a variety $X$ over a field $k$ is called rigid if $H^1(X, T_X) = 0$. I am interested in understanding this property under specialisation.
Let $R$ be a discrete valuation ring and let $ …
- 21.4k
7
votes
Injectivity under flat base change of the Picard group on smooth projective curves
Yes this is true. It can be proved using the Hochschild-Serre spectral sequence plus Hilbert's theorem 90 (it is true more generally for any geometrically connected projective variety $X$).
The Hochs …
- 21.4k
8
votes
Accepted
Automorphisms and infinitesimal deformations of a smooth complete intersection
It is known that there exists complete intersection of given type $T=(d_1,\ldots,d_c;n)$ with infinite automorphism group if and only if the type satisfies one of the following:
$$T \in \{(2;n), (3;1) …
- 21.4k