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Международная конференция «Arithmetic as Geometry: Parshin Fest»
28 ноября 2012 г. 15:00, г. Москва, МИАН


Hyperbolicity of Generic High-Degree Hypersurfaces

Y.-T. Siu

Department of Mathematics, Harvard University



Аннотация: We will talk about the solution of the decades-old problem of the hyperbolicity of generic hypersurfaces of sufficiently high degree and of their complements, as well as a number of related results, such as:
  • (i) a Big-Picard-Theorem type statement concerning extendibility, across the puncture, of holomorphic maps from a punctured disk to a generic hypersurface of high degree,
  • (ii) entire holomorphic functions satisfying polynomial equations with slowly varying coefficients,
  • (iii) Second Main Theorems for jet differentials and slowly moving targets.


Язык доклада: английский


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