We apply the combinatorial theory of spherical varieties to characterize the momentum polytopes of polarized projective spherical varieties. This enables us to derive a classification of these varieties, without specifying the open orbit, as well as a classification of all Fano spherical varieties. In the setting of multiplicity free compact and connected Hamiltonian manifolds, we obtain a necessary and sufficient condition involving momentum polytopes for such manifolds to be Kähler and classify the invariant compatible complex structures of a given Kähler multiplicity free compact and connected Hamiltonian manifold.
Momentum polytopes of projective spherical varieties and related Kähler geometry / Cupit-Foutou, S.; Pezzini, G.; Vansteirteghem, B.. - In: SELECTA MATHEMATICA. - ISSN 1022-1824. - 26:2(2020). [10.1007/s00029-020-0549-9]
Momentum polytopes of projective spherical varieties and related Kähler geometry
Pezzini G.;
2020
Abstract
We apply the combinatorial theory of spherical varieties to characterize the momentum polytopes of polarized projective spherical varieties. This enables us to derive a classification of these varieties, without specifying the open orbit, as well as a classification of all Fano spherical varieties. In the setting of multiplicity free compact and connected Hamiltonian manifolds, we obtain a necessary and sufficient condition involving momentum polytopes for such manifolds to be Kähler and classify the invariant compatible complex structures of a given Kähler multiplicity free compact and connected Hamiltonian manifold.File | Dimensione | Formato | |
---|---|---|---|
Cupit-Foutou_Momentum-polytopes_2020.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
715.9 kB
Formato
Adobe PDF
|
715.9 kB | Adobe PDF | Contatta l'autore |
Cupit-Foutou_preprint_Momentum-polytopes_2020.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
576.44 kB
Formato
Adobe PDF
|
576.44 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.