We consider Higgs bundles satisfying a notion of numerical flatness (H-nflatness) that was introduced in [5; 4], and show that they have Jordan-Hölder filtrations whose quotients are stable, locally free and H-nflat. This is applied to show that curve semistable Higgs bundles on simply connected Calabi-Yau varieties have vanishing discriminant.
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi-Yau varieties / Bruzzo, U.; Capasso, A.. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 23:2(2023), pp. 215-222. [10.1515/advgeom-2023-0007]
Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi-Yau varieties
Bruzzo U.;
2023-01-01
Abstract
We consider Higgs bundles satisfying a notion of numerical flatness (H-nflatness) that was introduced in [5; 4], and show that they have Jordan-Hölder filtrations whose quotients are stable, locally free and H-nflat. This is applied to show that curve semistable Higgs bundles on simply connected Calabi-Yau varieties have vanishing discriminant.File in questo prodotto:
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