English

On the slope of fourgonal semistable fibrations

Algebraic Geometry 2017-06-06 v4

Abstract

We bound the slope of sweeping curves in the fourgonal locus of the moduli space of genus g algebraic curves. Our results follow from some Bogomolov-type inequalities for weakly positive rank two vector bundles on ruled surfaces.

Keywords

Cite

@article{arxiv.1209.3571,
  title  = {On the slope of fourgonal semistable fibrations},
  author = {Valentina Beorchia and Francesco Zucconi},
  journal= {arXiv preprint arXiv:1209.3571},
  year   = {2017}
}

Comments

Change in the title; accepted for publication in Mathematical Research Letters