The total coordinate ring of a wonderful variety
By M. Brion. 2006
107 citations recorded by the source corpus.
Abstract 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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e1ffb8e0c11853617b4e0d079018a4cec9552f80
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Cox Rings and Combinatorics II (2008, background): “Cox rings und universal torsors occur in different settings, for some recent work, see [7] and [9].”
- Log homogeneous varieties (2006, background): “It follows that H0 = Gaff ∩H = NGaff (H 0) = NGaff (h) so that the morphism α × τ is bijective by Lemma 1.4.1.”
- An introduction to wonderful varieties with many examples of type F4 (2008, background): “trate most of the phenomena present in the general case. In Chapter 1, we recall some basic facts about wonderful varieties and their combinatorial invariants called spherical systems (see [Lu01] and [Bri07a]). We very much emphasize spherical diagrams: these diagrams provide a convenient way of vis”