TY - RPRT
T1 - Numerically flat Higgs vector bundles
Y1 - 2007
A1 - Ugo Bruzzo
A1 - Beatriz Grana-Otero
AB - After 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.
JF - Commun. Contemp. Math. 9 (2007) 437-446
UR - http://hdl.handle.net/1963/1757
U1 - 2787
U2 - Mathematics
U3 - Mathematical Physics
ER -