The canonical pencils on Horikawa surfaces

Auroux, Denis¹

¹ Department of Mathematics, MIT, Cambridge, MA 02139, USA

Geometry & topology, Tome 10 (2006) no. 4, pp. 2173-2217.

Résumé

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.

Détail

DOI : 10.2140/gt.2006.10.2173

Keywords: Horikawa surfaces, Lefschetz pencils, monodromy

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