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Results tagged with deformation-theory
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user 22810
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
9
votes
2
answers
598
views
When is a formal deformation convergent?
Let $X$ be a finite type scheme over $\mathbb{C}$ and let $ \mathcal{X} \to Spf(\mathbb{C}[[x]])$ be a formal deformation of $X$. Which of the following assumptions (or combinations thereof) are suffi …
7
votes
0
answers
483
views
A general definition of an equisingular family of singular varieties?
This question is about the existence of a definition. I'm far from being an expert in the field in question I apologize in advance for any inaccuracies or stupid and wrong assumptions.
Let $X$ be a s …
- 7,799
7
votes
1
answer
1k
views
Can the homological dimension of a coherent sheaf explode along a formal deformation? (is th...
Let $X_0$ be a locally noetherian scheme and $\mathcal{F}_0$ a coherent $\mathcal{O}_{X_0}$-module. Let $C$ be an artin ring with residue field $k$ and let $X \to Spec C$ be a (flat) deformation of $X …
- 4,111
9
votes
1
answer
835
views
Algebro-geometric version of {vector fields} $\longleftrightarrow$ {flows} correspondence?
Main Question: What Is the correpondence between flows and vector
fields in algebraic geometry?
Here is a more precise statement could be an answer If it was true (I have no idea it is):
"P …
- 149k