Jun-Muk Hwang, KIAS, Seoul, Korea

Webs of algebraic curves

Abstract

A family of algebraic curves covering a projective variety X is called a web of curves on X if it has only finitely many members through a general point of X. A web of curves on X induces a web-structure, in the sense of local differential geometry, in a neighborhood of a general point of X. We will discuss the relation between the local differential geometry of the web-structure and the global algebraic geometry of X.