On curves with high multiplicity on $\mathbb{P}(a,b,c)$ for $\min(a,b,c)\leq4$
Algebraic Geometry
2020-11-23 v1
Abstract
On a weighted projective surface with , we compute lower bounds for the {\em effective threshold} of an ample divisor, in other words, the highest multiplicity a section of the divisor can have at a specified point. We expect that these bounds are close to being sharp. This translates into finding divisor classes on the blowup of that generate a cone contained in, and probably close to, the effective cone.
Keywords
Cite
@article{arxiv.2011.10103,
title = {On curves with high multiplicity on $\mathbb{P}(a,b,c)$ for $\min(a,b,c)\leq4$},
author = {David McKinnon and Rindra Razafy and Matthew Satriano and Yuxuan Sun},
journal= {arXiv preprint arXiv:2011.10103},
year = {2020}
}