The canonical pencils on Horikawa surfaces

Denis Auroux

doi:10.2140/gt.2006.10.2173

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Home > Journals > Geom. Topol. > Volume 10 > Issue 4 > Article

2006 The canonical pencils on Horikawa surfaces

Denis Auroux

Geom. Topol. 10(4): 2173-2217 (2006). DOI: 10.2140/gt.2006.10.2173

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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.