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Results tagged with deformation-theory
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user 4096
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
3
votes
1
answer
314
views
deformations of vector bundles on curves
Let $X$ be a smooth algebraic curve. Suppose I have a flat family $V_y\to X$ of vector bundles on $X$ over an affine scheme $S$. Let $p=Spec(k)$ be one geometric point of $S$. If the determinant of $V …
- 3,779
2
votes
1
answer
179
views
does there exist a family of objects over the tangent space to the base space of a family of...
Suppose we have a family of objects $\Xi \to S$ over a base smooth projective scheme $S$. Take a closed point $p\in S$ and consider the tangent space to $S$ at $p$. Can one construct an "induced famil …
- 3,779
1
vote
Classification of first order deformations of n-pointed non-singular variety
Here's a "quick and dirty" answer, far from being precise. Take the case of curves that you mention: the idea is that , the more points that you add to your moduli problem, the more parameters you nee …
- 3,779
1
vote
1
answer
267
views
glueing flat families of objects over a blow-up
Hi Everybody,
I stumbled upon the following question for families of vector bundles (over a curve) but I guess it could be interesting to answer in general.
Suppose I have $B$ the blow-up of a smoo …
- 3,779