Strongly symmetric smooth toric varieties
M. Cuntz, Y. Ren, and G. Trautmann
Source: Kyoto J. Math. Volume 52, Number 3
(2012), 597-620.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.kjm/1343309708
Digital Object Identifier: doi:10.1215/21562261-1625208
Zentralblatt MATH identifier: 06081385
Mathematical Reviews number (MathSciNet): MR2959949
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Kyoto Journal of Mathematics
