Restrictions on the Singularity Content of a Fano Polygon
Algebraic Geometry
2018-08-21 v1
Abstract
We determine restrictions on the singularity content of a Fano polygon, or equivalently of certain orbifold del Pezzo surfaces. We establish bounds on the maximum number of 1/R(1,1) singularities in the basket of residual singularities. In particular, there are no Fano polygons without T-singularities and with a basket given by (i) {k x 1/R(1,1)} where k is a positive integer and R>4, or (ii) {1/R1(1,1), 1/R2(1,1), 1/R3(1,1)}.
Keywords
Cite
@article{arxiv.1808.06476,
title = {Restrictions on the Singularity Content of a Fano Polygon},
author = {Daniel Cavey},
journal= {arXiv preprint arXiv:1808.06476},
year = {2018}
}
Comments
14 pages, 3 figures