Momentum polytopes of projective spherical varieties and related Kahler geometry

Cupit-Foutou S, Pezzini G, van Steirteghem B (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Selecta Mathematica-New Series Springer Verlag (Germany)

Book Volume: 26

Journal Issue: 2

DOI: 10.1007/s00029-020-0549-9

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 Kahler and classify the invariant compatible complex structures of a given Kahler multiplicity free compact and connected Hamiltonian manifold.

Authors with CRIS profile

Bart van Steirteghem Lehrstuhl für Mathematik (Algebra und Geometrie)

Involved external institutions

Ruhr-Universität Bochum (RUB) DE Germany (DE) Università degli studi "La Sapienza" IT Italy (IT)

How to cite

APA:

Cupit-Foutou, S., Pezzini, G., & van Steirteghem, B. (2020). Momentum polytopes of projective spherical varieties and related Kahler geometry. Selecta Mathematica-New Series, 26(2). https://dx.doi.org/10.1007/s00029-020-0549-9

MLA:

Cupit-Foutou, Stephanie, Guido Pezzini, and Bart van Steirteghem. "Momentum polytopes of projective spherical varieties and related Kahler geometry." Selecta Mathematica-New Series 26.2 (2020).

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