The canonical pencils on Horikawa surfaces
arXiv:math/0605692 · doi:10.2140/gt.2006.10.2173
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.
This is the version published by Geometry & Topology on 29 November 2006