Work

On the Geography of Slopes of Fibrations

Year: 2024

Type: article

Abstract: The slopes of fibrations of genus g\geq2 have strict lower (resp., upper) bound, namely \lambda_{m}(g) (resp., \lambda_{M}(g) ). In this paper, we show that if g\neq3 , then each rational number r\in [\lambda_{m}(g),\lambda_{M}(g)] can occur as the slope of some fibration of genus g . A similar result is also true for g=3 and r\in [\lambda_{m}(3),9] .

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/60-4-3

Authors: Xiao-Lei Liu, Jun Lu

Institutions: Dalian University of Technology, East China Normal University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4404142754

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