2006/05/31 by Denis Auroux
Mathematics · #Algebraic Geometry and Number Theory #Canonical form #Geometric and Algebraic Topology #Geometry and complex manifolds #Monodromy #Non canonical #Pencil (optics) #Surface (topology) #math.GT #math.SG #msc:14D05 #msc:53D35 #msc:57R17
paper · pdf · doi:10.2140/gt.2006.10.2173
published as Geom. Topol. 10 (2006) 2173-2217 · This is the version published by Geometry & Topology on 29 November 2006
openalex publication_date 2006/11/29 · arxiv created 2009/03/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.