On Q-Fano threefolds of Fano index 2
Algebraic Geometry
2016-06-29 v3
Abstract
We show that, for a Q-Fano threefold X of Fano index 2, the inequality dim |-1/2K_X| <= 4 holds with a single well understood family of varieties having dim |-1/2K_X| = 4.
Cite
@article{arxiv.1203.0852,
title = {On Q-Fano threefolds of Fano index 2},
author = {Yuri Prokhorov and Miles Reid},
journal= {arXiv preprint arXiv:1203.0852},
year = {2016}
}
Comments
Minor changes, mostly biographical, to bring into line with the published version in Minimal Models and Extremal Rays (Kyoto 2011), Advanced Studies in Pure Mathematics 70, 2016, pp. 397--420