Bruzzo, UgoGraña Otero, Beatriz20052011-09-0720052011-09-072005Commun. Contemp. Math. 9 (2007) 437-446https://openscience.sissa.it/handle/1963/1757After providing a suitable definition of numerical effectiveness for Higgs bundles, and a related notion of numerical flatness, in this paper we prove, together with some side results, that all Chern classes of a Higgs-numerically flat Higgs bundle vanish, and that a Higgs bundle is Higgs-numerically flat if and only if it is has a filtration whose quotients are flat stable Higgs bundles. We also study the relation between these numerical properties of Higgs bundles and (semi)stability.192887 bytesapplication/pdfen-USPreprint