%0 Journal Article
%J Differential Geom. Appl. 24 (2006) 403-416
%D 2006
%T Semistability vs. nefness for (Higgs) vector bundles
%A Ugo Bruzzo
%A Daniel Hernandez Ruiperez
%X 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.
%B Differential Geom. Appl. 24 (2006) 403-416
%G en_US
%U http://hdl.handle.net/1963/2237
%1 2007
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-16T09:06:35Z\\nNo. of bitstreams: 1\\n0310040v3.pdf: 216788 bytes, checksum: 574f5aac93686c2348a6313bd129cb61 (MD5)
%R 10.1016/j.difgeo.2005.12.007