On the slope of fourgonal semistable fibrations

2012/09/17 by Beorchia, Valentina, Zucconi, Francesco
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1209.3571

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.

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