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

13 votes
0 answers
592 views

What does deformation theory have to do with Serre duality?

The cotangent bundle $\Omega_X$ of a smooth scheme $X$ shows up in two places in my understanding of algebraic geometry. The first is deformation theory, where maps out of $\Omega_X$ control the infi …
22 votes
2 answers
4k views

obstruction theories in algebraic geometry

I'd like to know about the history of obstruction theories in algebraic geometry, as well as the relationship with concepts of the same name in topology. I would also like to know where obstruction t …