Details
| Original language | English |
|---|---|
| Pages (from-to) | 597-620 |
| Number of pages | 24 |
| Journal | Kyoto journal of mathematics |
| Volume | 52 |
| Issue number | 3 |
| Publication status | Published - 1 Sept 2012 |
| Externally published | Yes |
Abstract
We investigate toric varieties defined by arrangements of hyperplanes and call them strongly symmetric. The smoothness of such a toric variety translates to the fact that the arrangement is crystallographic. As a result, we obtain a complete classification of this class of toric varieties. Further, we show that these varieties are projective and describe associated toric arrangements in these varieties.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Kyoto journal of mathematics, Vol. 52, No. 3, 01.09.2012, p. 597-620.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Strongly symmetric smooth toric varieties
AU - Cuntz, M.
AU - Ren, Y.
AU - Trautmann, G.
PY - 2012/9/1
Y1 - 2012/9/1
N2 - We investigate toric varieties defined by arrangements of hyperplanes and call them strongly symmetric. The smoothness of such a toric variety translates to the fact that the arrangement is crystallographic. As a result, we obtain a complete classification of this class of toric varieties. Further, we show that these varieties are projective and describe associated toric arrangements in these varieties.
AB - We investigate toric varieties defined by arrangements of hyperplanes and call them strongly symmetric. The smoothness of such a toric variety translates to the fact that the arrangement is crystallographic. As a result, we obtain a complete classification of this class of toric varieties. Further, we show that these varieties are projective and describe associated toric arrangements in these varieties.
UR - http://www.scopus.com/inward/record.url?scp=84879766894&partnerID=8YFLogxK
U2 - 10.1215/21562261-1625208
DO - 10.1215/21562261-1625208
M3 - Article
AN - SCOPUS:84879766894
VL - 52
SP - 597
EP - 620
JO - Kyoto journal of mathematics
JF - Kyoto journal of mathematics
SN - 2156-2261
IS - 3
ER -