Some remarks on the symplectic and Kaehler geometry of toric varieties

Abstract

Let $M$ be a projective toric manifold. We prove two results concerning respectively Kaehler-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 C^n.

20 pages

References in corpus (2)

• Symplectic maps of complex domains into complex space forms
• Upper bound for the Gromov width of coadjoint orbits of type A