In this paper we study the existence of sections of universal bundles on rational homogeneous varieties–called nestings–classifying them completely on rational homogeneous varieties G/P in the case where G is a simple group of classical type and P is a parabolic subgroup of G. In particular we show that, under this hypothesis, nestings do not exist unless there exists a proper algebraic subgroup of the automorphism group acting transitively on the base variety.
NESTINGS OF RATIONAL HOMOGENEOUS VARIETIES / Munoz, R.; Occhetta, G.; Sola Conde Luis, E.. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - 27/2022:(2022), pp. 189-223. [10.1007/s00031-020-09597-x]
NESTINGS OF RATIONAL HOMOGENEOUS VARIETIES
Occhetta G.;Sola Conde Luis E.
2022-01-01
Abstract
In this paper we study the existence of sections of universal bundles on rational homogeneous varieties–called nestings–classifying them completely on rational homogeneous varieties G/P in the case where G is a simple group of classical type and P is a parabolic subgroup of G. In particular we show that, under this hypothesis, nestings do not exist unless there exists a proper algebraic subgroup of the automorphism group acting transitively on the base variety.| File | Dimensione | Formato | |
|---|---|---|---|
|
MOS7.pdf
accesso aperto
Tipologia:
Post-print referato (Refereed author’s manuscript)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
939.65 kB
Formato
Adobe PDF
|
939.65 kB | Adobe PDF | Visualizza/Apri |
|
MUÑOZ2022_Article_NESTINGSOFRATIONALHOMOGENEOUSV.pdf
Solo gestori archivio
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
456.42 kB
Formato
Adobe PDF
|
456.42 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
