The Cox ring of a spherical embedding

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Giuliano Gagliardi

Externe Organisationen

  • Eberhard Karls Universität Tübingen
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Details

OriginalspracheEnglisch
Seiten (von - bis)548-569
Seitenumfang22
FachzeitschriftJournal of algebra
Jahrgang397
PublikationsstatusVeröffentlicht - Jan. 2014
Extern publiziertJa

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.

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The Cox ring of a spherical embedding. / Gagliardi, Giuliano.
in: Journal of algebra, Jahrgang 397, 01.2014, S. 548-569.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 ; Jahrgang 397. S. 548-569.
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