Fiber sums of genus 2 Lefschetz fibrations

2002/04/23 by Denis Auroux, Auroux, Denis
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.math/0204285

9 pages

arxiv created 2002/04/23 · openalex publication_date 2002/04/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Using the recent results of Siebert and Tian about the holomorphicity of genus 2 Lefschetz fibrations with irreducible singular fibers, we show that any genus 2 Lefschetz fibration becomes holomorphic after fiber sum with a holomorphic fibration.

Related

• On the holomorphicity of genus two Lefschetz fibrations
• The existence of an indecomposable minimal genus two Lefschetz fibration
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• Lefschetz fibrations and Torelli groups
• On sections of genus two Lefschetz fibrations