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Lectures on spherical and wonderful varieties

Guido Pezzini (2010)

Les cours du CIRM

These notes contain an introduction to the theory of spherical and wonderful varieties. We describe the Luna-Vust theory of embeddings of spherical homogeneous spaces, and explain how wonderful varieties fit in the theory.

Lelong classes on toric manifolds and a theorem of Siciak

Maritza M. Branker, Małgorzata Stawiska (2012)

Annales Polonici Mathematici

We generalize a theorem of Siciak on the polynomial approximation of the Lelong class to the setting of toric manifolds with an ample line bundle. We also characterize Lelong classes by means of a growth condition on toric manifolds with an ample line bundle and construct an example of a nonample line bundle for which Siciak's theorem does not hold.

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