%0 Journal Article
%J J. Reine Angew. Math. 612 (2007) 59-79
%D 2007
%T Metrics on semistable and numerically effective Higgs bundles
%A Ugo Bruzzo
%A Beatriz Grana-Otero
%X We consider fibre metrics on Higgs vector bundles on compact K\\\\\\\"ahler manifolds, providing notions of numerical effectiveness and numerical flatness in terms of such metrics. We prove several properties of bundles satisfying such conditions and in particular we show that numerically flat Higgs bundles have vanishing Chern classes, and that they admit filtrations whose quotients are stable flat Higgs bundles. We compare these definitions with those previously given in the case of projective varieties. Finally we study the relations between numerically effectiveness and semistability, providing semistability criteria for Higgs bundles on projective manifolds of any dimension.
%B J. Reine Angew. Math. 612 (2007) 59-79
%G en_US
%U http://hdl.handle.net/1963/1840
%1 2376
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-06-19T08:20:16Z\\nNo. of bitstreams: 1\\nmath.DG-0605659.pdf: 242976 bytes, checksum: b5e79cfd73f6c6533a0ae12bad3e3c90 (MD5)
%R 10.1515/CRELLE.2007.084