paper

Vanishing Chern classes for numerically flat Higgs bundles

arXiv:2004.09217

Abstract

I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank H-ample Higgs bundles over dimension , polarized, smooth, complex, projective varieties are positive under opportune hypothesis. I extend this to non-negativeness of Chern classes of all numerically effective Higgs bundles; and use this condition to prove the vanishing of Chern classes of numerically flat Higgs bundles.

Section has been fixed and updated in arXiv:2307.16578v2 [math.AG]

Vanishing Chern classes for numerically flat Higgs bundles · wovepaper