4 papers · 1 filter
An overview on curve semistable and numerically flat Higgs bundles
Armando Capasso
After recalling the basic notions concerning Higgs-Grassmannian schemes, I review how these later can be used to define generalisations of the notion of positivity conditions, such…
Lefschetz principle-type theorems for curve semistable Higgs sheaves and applications to elliptic surfaces
Armando Capasso
I prove ``Lefschetz principle''-type theorems for slope semistable and curve semistable Higgs sheaves on smooth projective varieties, defined over an algebraically closed field of…
Curve semistable Higgs bundles and smooth projective varieties whose canonical bundle is ample
Armando Capasso
Considering the so-called Simpson system on smooth projective varieties, defined over an algebraically closed field of characteristic 0, whose canonical bundle is ample, I give ano…
Vanishing Chern classes for numerically flat Higgs bundles
Armando Capasso
I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank H-ample Hig…