Momentum polytopes of projective spherical varieties and related Kähler geometry

  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},
  • 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

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