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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

4 votes

Global proof of Serre duality

I thought I'd offer a high-tech alternative for certain varieties. If $X$ is smooth and projective over a field $k$ then Bondal and van den Bergh give a proof in Generators and representability of fun …
David Roberts's user avatar
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3 votes

Are submersions of differentiable manifolds flat morphisms?

I have an idea for the case of a submersion - maybe it is nonsense but maybe not. In the algebraic case of nonsingular varieties X,Y over an algebraically closed field one can check smoothness (which …
Greg Stevenson's user avatar