21 citations · 32 across the 7 of their papers we have counts for
6 papers · 1 filter
Positivity for Higgs vector bundles: criteria and applications
Ugo Bruzzo, Armando Capasso, Beatriz Graña Otero
Working in the category of smooth projective varieties over an algebraically closed field of characteristic 0, we review notions of ampleness and numerical nefness for Higgs bundle…
Yang-Mills-Higgs connections on Calabi-Yau manifolds, II
Indranil Biswas, Ugo Bruzzo, Beatriz Graña Otero +1
In this paper we study Higgs and co-Higgs -bundles on compact Kähler manifolds . Our main results are: (1) If is Calabi-Yau, and is a semistable Higgs or co-Hig…
Yang-Mills-Higgs connections on Calabi-Yau manifolds
Indranil Biswas, Ugo Bruzzo, Beatriz Graña Otero +1
Let be a compact connected Kähler--Einstein manifold with . If there is a semistable Higgs vector bundle on with , then we show t…
Semistable and numerically effective principal (Higgs) bundles
Ugo Bruzzo, Beatriz Graña Otero
We study Miyaoka-type semistability criteria for principal Higgs G-bundles E on complex projective manifolds of any dimension. We prove that E has the property of being semistable…
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…
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…