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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

3 votes

Good overview of singularity theory

There is the classic Singular Points of Complex Hypersurfaces by J. W. Milnor. Try also Topics in real and complex singularities by A. Dimca.
Yochay Jerby's user avatar
8 votes

Derived categories of toric varieties and convex geometry

That's a great question! In the last few years there is plenty of research on the subject - and a few (interesting) open questions. Before Kawamta's result - note that toric manifolds satisfy $rk( …
Yochay Jerby's user avatar