Slope inequalities for irregular cyclic covering fibrations

2019/04/01 by Hiroto Akaike, Akaike, Hiroto
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1904.00573

openalex publication_date 2019/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f:S→ B be a finite cyclic covering fibration of a fibered surface. We study the lower bound of slope λ_f when the relative irregularity q_f is positive.

Citations

• On the slope conjecture of Barja and Stoppino for fibred surfaces

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