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

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DG categories in algebraic geometry - guide to the literature?

Although my experience with DG categories is pretty basic I find them to be a very neat tool for organizing (co-)homological techniques in algebraic geometry. For someone who has algebro-geometric ...
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Counting limit cycles via curvature in Riemannian geometry

In this post we would like to give a possible new approach in the second part of the Hilbert 16th problem First we give a short introduction: A quadratic system is a polynomial vector field on ...