On the slope of fourgonal semistable fibrations
classification
🧮 math.AG
keywords
curvesfourgonalslopealgebraicbogomolov-typeboundbundlesfibrations
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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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