A survey on hyperbolicity of projective hypersurfaces

Details A survey on hyperbolicity of projective hypersurfaces A survey on hyperbolicity of projective hypersurfaces

2011-07-06

arxiv.org/abs/1107.1263v1

Publica\c{c}\~oes Matem\'aticas do IMPA, 2011

Mathematics

Algebraic Geometry

108 pages, 2 figures

Scientific paper

These are lecture notes of a course held at IMPA, Rio de Janiero, in september 2010: the purpose was to present recent results on Kobayashi hyperbolicity in complex geometry. Our ultimate goal is to describe the results obtained on questions related to the geometry of entire curves traced in generic complex projective hypersurfaces of high degree. For the convenience of the reader, this survey tries to be as self contained as possible.

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