The canonical pencils on Horikawa surfaces

Details The canonical pencils on Horikawa surfaces The canonical pencils on Horikawa surfaces

2006-05-26

arxiv.org/abs/math/0605692v2

Geom. Topol. 10 (2006) 2173-2217

Mathematics

Geometric Topology

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

Scientific paper

10.2140/gt.2006.10.2173

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.

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