Details
| Original language | English |
|---|---|
| Pages (from-to) | 1043-1055 |
| Number of pages | 13 |
| Journal | Mathematical research letters |
| Volume | 24 |
| Issue number | 4 |
| Publication status | Published - 2017 |
Abstract
An algebraic variety is said to have the Ak-property if any k points are contained in some common affine open neighbourhood. A theorem of Włodarczyk states that a normal variety has the A2-property if and only if it admits a closed embedding into a toric variety. Spherical varieties can be regarded as a generalization of toric varieties, but they do not have the A2-property in general. We provide a combinatorial criterion for the Ak-property of spherical varieties by combining the theory of bunched rings with the Luna-Vust theory of spherical embeddings.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Mathematical research letters, Vol. 24, No. 4, 2017, p. 1043-1055.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Spherical varieties with the Ak-property
AU - Gagliardi, Giuliano
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2017
Y1 - 2017
N2 - An algebraic variety is said to have the Ak-property if any k points are contained in some common affine open neighbourhood. A theorem of Włodarczyk states that a normal variety has the A2-property if and only if it admits a closed embedding into a toric variety. Spherical varieties can be regarded as a generalization of toric varieties, but they do not have the A2-property in general. We provide a combinatorial criterion for the Ak-property of spherical varieties by combining the theory of bunched rings with the Luna-Vust theory of spherical embeddings.
AB - An algebraic variety is said to have the Ak-property if any k points are contained in some common affine open neighbourhood. A theorem of Włodarczyk states that a normal variety has the A2-property if and only if it admits a closed embedding into a toric variety. Spherical varieties can be regarded as a generalization of toric varieties, but they do not have the A2-property in general. We provide a combinatorial criterion for the Ak-property of spherical varieties by combining the theory of bunched rings with the Luna-Vust theory of spherical embeddings.
UR - http://www.scopus.com/inward/record.url?scp=85033390699&partnerID=8YFLogxK
U2 - 10.4310/mrl.2017.v24.n4.a6
DO - 10.4310/mrl.2017.v24.n4.a6
M3 - Article
AN - SCOPUS:85033390699
VL - 24
SP - 1043
EP - 1055
JO - Mathematical research letters
JF - Mathematical research letters
SN - 1073-2780
IS - 4
ER -