English

Strongly symmetric smooth toric varieties

Algebraic Geometry 2015-01-14 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.1108.1886,
  title  = {Strongly symmetric smooth toric varieties},
  author = {M. Cuntz and Y. Ren and G. Trautmann},
  journal= {arXiv preprint arXiv:1108.1886},
  year   = {2015}
}

Comments

23 pages, 3 figures

R2 v1 2026-06-21T18:48:11.556Z