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Results tagged with deformation-theory
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user 6856
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
2
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1
answer
432
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Representability of deformation functors via SGA
I'm trying to understand Böckle's proof of Theorem 2.1.1 in his notes on deformation theory.
Let's start with some motivation. Let $\Gamma$ be a profinite group (I'm thinking of an absolute Galois g …
CommunityBot
- 1
7
votes
Infinitesimal deformations of the formal group of $\mathbb{G}_m$
This isn't a complete answer, but I think the general case is subtle.
If $R\supset\mathbf{Q}$ is (pro-)artinian, then [SGA 3, VIIB 3.2] tells us that formal groups over $R$ are uniquely determined b …
- 5,759
1
vote
Accepted
Representability of deformation functors via SGA
It turns out that the only thing Böckle is using is the smoothness of $\widehat{\mathrm{PGL}}_d$. I claim that the following more general result is true.
Suppose $R\rightrightarrows X$ is an equi …
- 5,759
8
votes
2
answers
965
views
When does the categorical definition of a module work?
$\DeclareMathOperator{\ab}{Ab}\DeclareMathOperator{\qcoh}{QCoh}$
This entry in the nlab shows that for $A$ a (commutative unital) ring, the category $\mathsf{Mod}_A$ of $A$-modules is equivalent to th …
CommunityBot
- 1