@article {2006,
title = {Semistability vs. nefness for (Higgs) vector bundles},
journal = {Differential Geom. Appl. 24 (2006) 403-416},
number = {arXiv.org;math/0310040v3},
year = {2006},
abstract = {According to Miyaoka, a vector bundle E on a smooth projective curve is semistable if and only if a certain numerical class in the projectivized bundle PE is nef. We establish a similar criterion for the semistability of Higgs bundles: namely, such a bundle is semistable if and only if for every integer s between 0 and the rank of E, a suitable numerical class in the scheme parametrizing the rank s locally-free Higgs quotients of E is nef. We also extend this result to higher-dimensional complex projective varieties by showing that the nefness of the above mentioned classes is equivalent to the semistability of the Higgs bundle E together with the vanishing of the discriminant of E.},
doi = {10.1016/j.difgeo.2005.12.007},
url = {http://hdl.handle.net/1963/2237},
author = {Ugo Bruzzo and Daniel Hernandez Ruiperez}
}