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Exceptional loci in algebraic surfaces

Lucia Caporaso, Amos Turchet

Abstract

We study the algebraic exceptional set for surfaces (S,B) of log general type, when B has at least three irreducible components; we prove that in most cases it is finite or empty.

Exceptional loci in algebraic surfaces

Abstract

We study the algebraic exceptional set for surfaces (S,B) of log general type, when B has at least three irreducible components; we prove that in most cases it is finite or empty.

Paper Structure

This paper contains 5 sections, 12 theorems, 45 equations.

Table of Contents

  1. Introduction
  2. Brody Hyperbolicity
  3. Preliminaries
  4. Hypertangency
  5. Hyperbitangency

Key Result

Theorem 1.2

Let $S$ and $B = \cup_{i=1}^n B_i$ be as above. The following hold:

Theorems & Definitions (28)

  • Remark 1.1
  • Theorem 1.2
  • Theorem 1.3
  • Lemma 2.1
  • proof
  • Lemma 2.2
  • proof
  • Remark 2.3
  • Lemma 2.4
  • proof
  • ...and 18 more