We briefly review an open conjecture about Higgs bundles that are semistable after pulling back to any curve, and prove it in the rank 2 case. We also prove some results in higher rank under suitable additional assumptions. Moreover, we establish a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton–Lazarsfeld inequalities for numerically effective vector bundles.
On a Conjecture About Higgs Bundles and Some Inequalities / Bruzzo, U.; Grana Otero, B.; Hernandez Ruiperez, D.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - 20:6(2023), pp. 1-15. [10.1007/s00009-023-02494-z]
On a Conjecture About Higgs Bundles and Some Inequalities
Bruzzo, U.;
2023-01-01
Abstract
We briefly review an open conjecture about Higgs bundles that are semistable after pulling back to any curve, and prove it in the rank 2 case. We also prove some results in higher rank under suitable additional assumptions. Moreover, we establish a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton–Lazarsfeld inequalities for numerically effective vector bundles.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s00009-023-02494-z.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
382.65 kB
Formato
Adobe PDF
|
382.65 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
