5 papers
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…
CW-complexes and minimal Hilbert vector of graded Artinian Gorenstein algebras
Armando Capasso
I introduce a geometric interpretation of the set of standard graded Artinian Gorenstein algebras of codimension n and degree d: the standard locus, which is a subset of the projec…
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…