Anticanonical system of Fano fivefolds
Algebraic Geometry
2020-02-10 v4
Abstract
We show that any Fano fivefold with canonical Gorenstein singularities has an effective anticanonical divisor. Moreover,if a general element of the anticanonical system is reduced, then it has canonical singularities. We also prove nonvanishing of anticanonical system in the case of log canonical Gorenstein singularities.
Keywords
Cite
@article{arxiv.1903.08711,
title = {Anticanonical system of Fano fivefolds},
author = {Andreas Höring and Robert Śmiech},
journal= {arXiv preprint arXiv:1903.08711},
year = {2020}
}
Comments
6 pages, final version, to appear in Mathematische Nachrichten, added theorem concerning nonvanishing in case of log canonical Gorenstein Fano fivefold