Sections of the Matsumoto-Cadavid-Korkmaz Lefschetz fibration

Noriyuki Hamada

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arXiv · 1610.08458

Sections of the Matsumoto-Cadavid-Korkmaz Lefschetz fibration

Noriyuki Hamada

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Abstract

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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Noriyuki Hamada. 2016-10-26. Sections of the Matsumoto-Cadavid-Korkmaz Lefschetz fibration. https://arxiv.org/abs/1610.08458

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