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for questions about deformation theory, including deformations of manifolds, schemes, Galois representations, and von Neumann algebras.

24 votes
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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 …
Peter Dalakov's user avatar
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 …
Peter Dalakov's user avatar