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Results tagged with deformation-theory
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user 4164
for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
14
votes
Accepted
Tangent space in Algebraic geometry and Differential geometry
If p is a nonsingular point, then we can define a tangent vector as an equivalence class of (nonsingular) curves, just as in the differentiable case. In fact, being nonsingular is equivalent to every …
- 976
10
votes
Tangent space of the stack $\overline{\mathcal{M}}_{g,n}(X,\beta)$.
The classical reference is Illusie's PhD thesis "complexe cotangent et deformations".There the result without the marked points is proven in a very, very general context using the cotangent complex; t …
- 976