A Defect Relation for Equidimensional Holomorphic Mappings Between Algebraic Varieties

Abstract

0. Introduction 1. Notations, terminology, and sign conventions (a) Line bundles and Chern classes (b) Currents and forms in C0 2. Construction of a volume form 3. A second main theorem for non-degenerate maps 4. The defect relation (preliminary form) 5. The first main theorem and defect relation 6. Variants and applications (a) Schottky-Landau theorems (b) Remarks on the case ci(L) + ci(Kv) ? 0 (c) Holomorphic mappings with growth conditions Bibliography