Strongly symmetric smooth toric varieties

Details Strongly symmetric smooth toric varieties Strongly symmetric smooth toric varieties

2011-08-09

arxiv.org/abs/1108.1886v1

Mathematics

Algebraic Geometry

23 pages, 3 figures

Scientific paper

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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