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Iskovskikh Seminar
November 29, 2018, Moscow, Steklov Mathematical Institute, room 540
 


Kobayashi metric and volume on varieties of general type

A. Golota

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Abstract: In my talk I will give the definition and basic properties of Kobayashi $p$-pseudometrics on exterior powers of the cotangent bundle of a complex manifold. Also I will show that positivity of these bundles implies hyperbolicity (theorems of Kobayashi, Kobayashi-Ochiai). Finally, I will sketch a proof of hyperbolicity of general high-degree hypersurfaces in the projective space (after Brotbek).

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