The Cox ring of a spherical embedding

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Giuliano Gagliardi

External Research Organisations

  • University of Tübingen
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Details

Original languageEnglish
Pages (from-to)548-569
Number of pages22
JournalJournal of algebra
Volume397
Publication statusPublished - Jan 2014
Externally publishedYes

Abstract

Let G be a connected reductive group and G/. H a spherical homogeneous space. We show that the ideal of relations between a natural set of generators of the Cox ring of a G-embedding of G/. H can be obtained by homogenizing certain equations which depend only on the homogeneous space. Using this result, we describe some examples of spherical homogeneous spaces such that the Cox ring of any of their G-embeddings is defined by one equation.

Keywords

    Cox ring, Spherical variety

ASJC Scopus subject areas

Cite this

The Cox ring of a spherical embedding. / Gagliardi, Giuliano.
In: Journal of algebra, Vol. 397, 01.2014, p. 548-569.

Research output: Contribution to journal › Article › Research › peer review

Gagliardi G. The Cox ring of a spherical embedding. Journal of algebra. 2014 Jan;397:548-569. doi: 10.1016/j.jalgebra.2013.08.037
Gagliardi, Giuliano. / The Cox ring of a spherical embedding. In: Journal of algebra. 2014 ; Vol. 397. pp. 548-569.
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