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For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.

8 votes

Can Enriques Surfaces have non-trivial TWISTED Fourier-Mukai partners?

There is a natural pair $(X,\alpha)$ that you can construct. Only in this pair $X$ is not a smooth projective variety but is a smooth orbifold surface. If you choose a genus one pencil $Y \to \mathbb{ …
Tony Pantev's user avatar
  • 6,239
5 votes

Singular K3 -- mathematical meaning?

I am not completely sure what the question is here so let me say something about the picture in general. There is no "vanishing K3" in Vafa's description. The singular K3 geometry that Vafa is talking …
Tony Pantev's user avatar
  • 6,239