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arxiv: 1610.08458 · v2 · pith:LC3G2EEBnew · submitted 2016-10-26 · 🧮 math.GT · math.SG

Sections of the Matsumoto-Cadavid-Korkmaz Lefschetz fibration

classification 🧮 math.GT math.SG
keywords lefschetzfibrationmatsumoto-cadavid-korkmazminimalpencilssectionssupportingcadavid
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We give a maximal set of disjoint $(-1)$-sections of the well-known Lefschetz fibration constructed by Matsumoto, Cadavid and Korkmaz. In fact, we obtain several such sets for a fixed genus, which implies that the Matsumoto-Cadavid-Korkmaz Lefschetz fibration has more than one supporting minimal Lefschetz pencils. We also determine the diffeomorphism types of the obtained supporting minimal Lefschetz pencils.

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