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Results tagged with deformation-theory
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user 38276
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
17
votes
2
answers
678
views
Proof of Hensel's lemma by using the deformation theory
I am thinking about the simplest version of Hensel's lemma. Fix a prime $p$. Let $f(x)\in \mathbf{Z}[x]$ be a polynomial. Assume there exists $a_0\in \mathbf{F}_p$ such that $f(a_0)=0\mod p$, and $f'( …
- 493
1
vote
0
answers
98
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miniversality vs versality
Consider a moduli problem $\mathcal{M}$. Assume, at each point $x$, the associated deformation problem $\mathcal{M}_x$ has a tangent-obstruction theory. It follows that $\mathcal{M}_x$ has a hull $spe …
- 493