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

29 votes
1 answer
4k views

Almost Complex Structure approach to Deformation of Compact Complex Manifolds

I don't know much about the deformation of compact complex manifolds, I've only read chapter 6 of Huybrechts' book Complex Geometry: An Introduction. There are two parts to this chapter. The second go …
Michael Albanese's user avatar
14 votes
0 answers
704 views

Is Hironaka's example the only known deformation of Kähler manifolds with non-Kähler central...

A well-known example in the deformation theory of compact complex manifolds is the one given by Hironaka in his 1962 paper An Example of a Non-Kählerian Complex-Analytic Deformation of Kählerian Compl …
Michael Albanese's user avatar