This paper translates prior geometric conditions for invariant Kähler-Einstein metrics on cohomogeneity one G-manifolds into arithmetic properties of Koszul numbers for G equal to SU_n, Sp_n or Spin_n.
M.: Homogeneous vector bundles, Group actions and invariant theory (Montreal, PQ, 1988), CMS Conf
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Cohomogeneity one Kaehler and Kaehler-Einstein manifolds with one singular orbit, II
This paper translates prior geometric conditions for invariant Kähler-Einstein metrics on cohomogeneity one G-manifolds into arithmetic properties of Koszul numbers for G equal to SU_n, Sp_n or Spin_n.