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Results tagged with deformation-theory
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user 152391
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
2
votes
Accepted
Exercise 1.5.8 from Robin Hartshorne's Deformation Theory
As the comment also indicates, consider the Grassmannian $ Gr_3(\operatorname{Sym}^2 \Omega_{\mathbb{P}^4} ) $ where the vector bundle $ \operatorname{Sym}^2 \Omega_{\mathbb{P}^4} $ has fiber $ m_p^2/ …
- 936
3
votes
0
answers
218
views
Deformations of genus g curves to 'non-reduced rational curve'
We work over the complex numbers. Fix a genus $g$. Does there exist a connected reduced base $ B $ and a flat projective family $ \pi : X \rightarrow B $ satisfying the following two conditions?
its …
- 936
6
votes
1
answer
730
views
Applications of the Infinitesimal Lifting Property
This question was posted to MSE but didn't get any answers, so I am posting it here. Original post
Hartshorne in his book gives the 'Infinitesimal Lifting Property' as an exercise in chapter 2, sectio …
- 936