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for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.
8
votes
Algebraic definition of the Kuranishi map
In characteristic zero the answer is positive.
If $L^\bullet$ is the dgla (differential graded Lie algebra) governing your deformation problem (the Kodaira-Spencer dgla $\oplus A^{0,p}(X,T_X)$ in your …
24
votes
Accepted
Almost Complex Structure approach to Deformation of Compact Complex Manifolds
This approach to deformations is taken, for instance, in all of the original papers of Kodaira-Spencer and Nirenberg. You can have a look at
On the existence of deformations of complex analytic st …