Relying on a notion of ``numerical effectiveness'' for Higgs bundles, we show that the category of ``numerically flat'' Higgs vector bundles on a smooth projective variety $X$ is a Tannakian category. We introduce the associated group scheme, that we call the ``Higgs fundamental group scheme of $X$,'' and show that its properties are related to a conjecture about the vanishing of the Chern classes of numerically flat Higgs vector bundles.
Higgs bundles and fundamental group schemes / Biswas, I.; Bruzzo, U.; Gurjar, S.. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 19:3(2019). [10.1515/advgeom-2018-0035]
Higgs bundles and fundamental group schemes
Bruzzo, U.
Membro del Collaboration group
;
2019-01-01
Abstract
Relying on a notion of ``numerical effectiveness'' for Higgs bundles, we show that the category of ``numerically flat'' Higgs vector bundles on a smooth projective variety $X$ is a Tannakian category. We introduce the associated group scheme, that we call the ``Higgs fundamental group scheme of $X$,'' and show that its properties are related to a conjecture about the vanishing of the Chern classes of numerically flat Higgs vector bundles.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
BBG-advgeom-rev.pdf
non disponibili
Descrizione: PDF
Tipologia:
Documento in Pre-print
Licenza:
Non specificato
Dimensione
305.67 kB
Formato
Adobe PDF
|
305.67 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
