Hyperbolicity of Projective Hypersurfaces

This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational works of Serge Lang and...

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Main Authors: Diverio, Simone. (Author, http://id.loc.gov/vocabulary/relators/aut), Rousseau, Erwan. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:IMPA Monographs ; 5
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-32315-2
Table of Contents:
  • - Introduction
  • Kobayashi hyperbolicity: basic theory
  • Algebraic hyperbolicity
  • Jets spaces
  • Hyperbolicity and negativity of the curvature
  • Hyperbolicity of generic surfaces in projective 3-space
  • Algebraic degeneracy for projective hypersurfaces.