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Positivity for codimension one holomorphic foliations

A. Golota

International laboratory for Mirror Symmetry and Automorphic Forms, National Research University "Higher School of Economics" (HSE), Moscow



Abstract: Let $\mathscr{F}$ be a codimension one holomorphic foliation on a smooth projective manifold $X$. We can associate to $\mathscr{F}$ its canonical line bundle (analogue of the canonical line bundle of a manifold) and its conormal line bundle. I will discuss positivity properties of these line bundles; also I will use positivity to prove some classification results for foliations.

Language: English

Website: https://us02web.zoom.us/j/2162766238?pwd=TTBraGwvQ3Z3dWVpK3RCSFNMcWNNZz09

* ID: 216 276 6238, password: residue


© Steklov Math. Inst. of RAS, 2024