On higher-dimensional del Pezzo varieties
Algebraic Geometry
2022-10-14 v2
Abstract
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type A the dimension of non-conical del Pezzo varieties is bounded by , where is the degree and is the rank of the class group, and classify maximal del Pezzo varieties.
Cite
@article{arxiv.2206.01549,
title = {On higher-dimensional del Pezzo varieties},
author = {Alexander Kuznetsov and Yuri Prokhorov},
journal= {arXiv preprint arXiv:2206.01549},
year = {2022}
}
Comments
62 pages, LaTeX, final version, to appear in Izvestiya