2 citations · 4 across the 4 of their papers we have counts for
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Semistable Higgs bundles on Calabi-Yau manifolds
Ugo Bruzzo, Valeriano Lanza, Alessio Lo Giudice
We provide a partial classification of semistable Higgs bundles over a simply connected Calabi-Yau manifolds. Applications to a conjecture about a special class of semistable Higgs…
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…
Reduction of the Semistability Condition for Tensors
A. Lo Giudice, A. Pustetto
In this article we study a special class of vector bundles, called tensors. A tensor consists of a vector bundle over a smooth irreducible projective variety and a morphism of…
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…
Restricting Higgs bundles to curves
Ugo Bruzzo, Alessio Lo Giudice
We determine some classes of varieties X - that include the varieties with numerically effective tangent bundle - satisfying the following property: if E is a Higgs bundle such tha…
Stability of Quadric bundles
Alessio Lo Giudice, Andrea Pustetto
Let be decorated vector bundle of type on a smooth projective curve . There is a suitable semistability condition for such objects which has to be checked fo…
A compactification of the moduli space of principal Higgs bundles over singular curves
Alessio Lo Giudice, Andrea Pustetto
A principal Higgs bundle over a singular curve is a pair consisting of a principal bundle and a morphism . We construct the moduli s…