English

A monodromy criterion for extending curves

Algebraic Geometry 2007-05-23 v2

Abstract

A family of proper smooth curves of genus 2\geq 2, parametrised by an open dense subset UU of a normal variety SS, extends to SS if the natural map π1(U)π1(S)\pi_1(U) \to \pi_1(S) on fundamental groups is an isomorphism. The criterion of this note is actually more precise.

Keywords

Cite

@article{arxiv.math/0408315,
  title  = {A monodromy criterion for extending curves},
  author = {Jakob Stix},
  journal= {arXiv preprint arXiv:math/0408315},
  year   = {2007}
}

Comments

12 pages; revised version including a section on outer representations for families of curves