Sections of the Matsumoto-Cadavid-Korkmaz Lefschetz fibration

2016/10/26 by Noriyuki Hamada, Hamada, Noriyuki · 2 citations
Mathematics · #55R55 #57M50 #57R17 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1610.08458

openalex publication_date 2016/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Lefschetz pencils on a complex projective plane from a topological viewpoint
• Classification of genus-1 holomorphic Lefschetz pencils

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