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Strongly symmetric smooth toric varieties (1108.1886v1)
Published 9 Aug 2011 in math.AG and math.CO
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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