On the Geography of Slopes of Fibrations
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] .
Authors
- Xiao-Lei Liu (ORCID: https://orcid.org/0000-0002-4279-9231)
- Jun Lu (ORCID: https://orcid.org/0000-0001-6036-9641)
Institutions
- Dalian University of Technology (CN)
- East China Normal University (CN)
Publication Details
- Journal
- Publications of the Research Institute for Mathematical Sciences
- Published
- 2024-11-07
- DOI
- https://doi.org/10.4171/prims/60-4-3
- Primary Topic
- Geotechnical Engineering and Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00