7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.AG2008★ 1 cited
Semistable principal Higgs bundles
Ugo Bruzzo, Beatriz Grana Otero
We give a Miyaoka-type semistability criterion for principal Higgs G-bundles E on complex projective manifolds of any dimension, i.e., we prove that E is semistable and the second…
math.DG2006
Metrics on semistable and numerically effective Higgs bundles
Ugo Bruzzo, Beatriz Graña-Otero
We provide notions of numerical effectiveness and numerical flatness for Higgs vector bundles on compact Kähler manifolds in terms of fibre metrics. We prove several properties of…
math.AG2006★ 7 cited
Numerically flat Higgs vector bundles
Ugo Bruzzo, Beatriz Graña Otero
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 resu…