Strongly symmetric smooth toric varieties

M. Cuntz; Y. Ren; G. Trautmann

doi:10.1215/21562261-1625208

Strongly symmetric smooth toric varieties

M. Cuntz
, Y. Ren
, G. Trautmann

University of Kaiserslautern

Research output: Contribution to journal › Article › Research › peer review

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.

Original language	English
Pages (from-to)	597-620
Number of pages	24
Journal	Kyoto journal of mathematics
Volume	52
Issue number	3
DOIs	https://doi.org/10.1215/21562261-1625208
Publication status	Published - 1 Sept 2012
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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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.

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JO - Kyoto journal of mathematics

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Strongly symmetric smooth toric varieties

Abstract

ASJC Scopus subject areas

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