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arXiv · 1108.1886

Strongly symmetric smooth toric varieties

M. Cuntz·Y. Ren·G. Trautmann
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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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M. Cuntz, Y. Ren, G. Trautmann. 2011-08-09. Strongly symmetric smooth toric varieties. https://doi.org/10.1215/21562261-1625208

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