Hyperbolicity of Projective Hypersurfaces

• Main Authors: Diverio, Simone (Author), Rousseau, Erwan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: IMPA Monographs ; 5
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Differential geometry.; Differential Geometry.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.

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...

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.