The total coordinate ring of a wonderful variety

Details The total coordinate ring of a wonderful variety The total coordinate ring of a wonderful variety

2006-03-07

arxiv.org/abs/math/0603157v3

Mathematics

Algebraic Geometry

Final version, to appear in Journal of Algebra

Scientific paper

We study the cone of effective divisors and the total coordinate ring of
wonderful varieties, with applications to their automorphism group. We show
that the total coordinate ring of any spherical variety is obtained from that
of the associated wonderful variety by a base change of invariant subrings.

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