Contents Online
Mathematical Research Letters
Volume 25 (2018)
Number 3
On the slope of fourgonal semistable fibrations
Pages: 723 – 757
DOI: https://dx.doi.org/10.4310/MRL.2018.v25.n3.a1
Authors
Abstract
We bound the slope of sweeping curves $B$ in the $4$-gonal locus $\overline{\mathcal{M}}^1_{g,4}$. Our results follow from some Bogomolov-type inequalities for weakly positive rank two vector bundles on ruled surfaces.
2010 Mathematics Subject Classification
Primary 14D22, 14H51. Secondary 14H10.
Received 1 December 2015
Accepted 4 June 2017
Published 3 August 2018