

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, KobayashiOchiai). Finally, I will sketch a proof of hyperbolicity of general highdegree hypersurfaces in the projective space (after Brotbek).

