Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties (Part 3)

Apparaît dans la collection : Summer School 2012 - FEUILLETAGES, COURBES PSEUDOHOLOMORPHES, APPLICATIONS

We will first introduce the basic concepts pertaining to Kobayashi pseudo-distances and hyperbolic complex spaces, including Brody’s theorem and the Ahlfors-Schwarz lemma. One of the main goals of the theory is to understand conditions under which a given algebraic variety is Kobayashi hyperbolic. This leads to the introduction of jet spaces and jet metrics, and provides a strong link between the existence of entire curves and the existence of global algebraic differential equations.