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G&T Monographs |
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The canonical pencils on Horikawa surfaces
Denis Auroux
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Geometry & Topology 10 (2006)
2173–2217
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Abstract
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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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Keywords
Horikawa surfaces, Lefschetz pencils,
monodromy
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Mathematical Subject Classification
Primary: 57R17
Secondary: 14D05, 53D35
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Publication
Received: 28 May 2006
Revised: 25 September 2006
Accepted: 22 October 2006
Published: 29 November 2006
Proposed: Rob Kirby
Seconded: Ronald Fintushel, Ronald Stern
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