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math.AG2025
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…
math.AG2025
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…
math.AC2025
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…