On embeddings of homogeneous spaces with small boundary

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We study equivariant embeddings with small boundary of a given homogeneous space $G/H$, where $G$ is a connected, linear algebraic group with trivial Picard group and only trivial characters, and $H \subset G$ is an extension of a connected Grosshans subgroup by a torus. Under certain maximality conditions, like completeness, we obtain finiteness of the number of isomorphism classes of such embeddings, and we provide a combinatorial description the embbeddings and their morphisms. The latter allows a systematic treatment of examples and basic statements on the geometry of the equivariant embeddings of a given homogeneous space $G/H$.
minor changes, 30 pages, to appear in J. Algebra

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Algebraic Geometry, 14L24, 14M17, 14M25

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http://salesiana.dossiersoluciones.com/handle/123456789/102135

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507557
 http://arxiv.org/abs/math/0507557
 J. Algebra, Vol. 304, No. 2, 950-988 (2006)

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arXiv