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Multidimensional Residues and Tropical Geometry
June 15, 2021 17:30–18:00, Section I, Sochi
 


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
Video records:
MP4 837.0 Mb
MP4 439.6 Mb
Supplementary materials:
Adobe PDF 458.6 Kb

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A. Golota



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.

Supplementary materials: Aleksei Golota's slides.pdf (458.6 Kb)

Language: English

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

* ID: 216 276 6238, password: residue
 
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