English

The canonical pencils on Horikawa surfaces

Geometric Topology 2009-03-02 v2 Symplectic Geometry

Abstract

We calculate the monodromies of the canonical Lefschetz pencils on a pair of homeomorphic Horikawa surfaces. We show in particular that the (pluri)canonical pencils on these surfaces have the same monodromy groups, and are related by a "partial twisting" operation.

Cite

@article{arxiv.math/0605692,
  title  = {The canonical pencils on Horikawa surfaces},
  author = {Denis Auroux},
  journal= {arXiv preprint arXiv:math/0605692},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology on 29 November 2006

R2 v1 2026-07-22T17:36:34.551Z