Momentum polytopes of projective spherical varieties and related Kähler geometry

@article{CupitFoutou2018MomentumPO,
  title={Momentum polytopes of projective spherical varieties and related K{\"a}hler geometry},
  author={S. Cupit-Foutou and Guido Pezzini and Bart Van Steirteghem},
  journal={Selecta Mathematica},
  year={2018},
  volume={26},
  pages={1-54}
}
  • S. Cupit-Foutou, Guido Pezzini, Bart Van Steirteghem
  • Published 2018
  • Mathematics
  • Selecta Mathematica
  • 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… CONTINUE READING

    Tables from this paper.

    References

    Publications referenced by this paper.