Let M be a projective toric manifold. We prove two results concerning, respectively, Kähler–Einstein submanifolds of M and symplectic embeddings of the standard Euclidean ball in M. Both results use the well-known fact that M contains an open dense subset biholomorphic to \(\mathbb {{C}}^n\).
Some remarks on the symplectic and Kaehler geometry of toric varieties
LOI, ANDREA;ZUDDAS, FABIO
2016-01-01
Abstract
Let M be a projective toric manifold. We prove two results concerning, respectively, Kähler–Einstein submanifolds of M and symplectic embeddings of the standard Euclidean ball in M. Both results use the well-known fact that M contains an open dense subset biholomorphic to \(\mathbb {{C}}^n\).
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