A Batyrev type classification of $Q$--factorial projective toric varieties
Algebraic Geometry
2019-12-20 v4
Abstract
The present paper is devoted to generalizing, inside the class of projective toric varieties, the classification [Batyrev91], performed by Batyrev in 1991 for smooth complete toric varieties, to the singular --factorial case. Moreover, in the first part of the paper the Kleinschmidt classification of smooth complete toric varieties of Picard number 2 [Kleinschmidt] is revised.
Keywords
Cite
@article{arxiv.1504.06515,
title = {A Batyrev type classification of $Q$--factorial projective toric varieties},
author = {Michele Rossi and Lea Terracini},
journal= {arXiv preprint arXiv:1504.06515},
year = {2019}
}
Comments
57 pp, 5 figures. Minor changes: some typos fixed. Major changes: following referee's advise, an example has been subdivided in several examples claryfing concepts introduced in section 1; moreover section 3 has been made more self-contained by introducing several results from our previous papers. Final version to appear in Advances in Geometry