Linear systems in $\mathbb{P}^2$ with base points of bounded multiplicity
Algebraic Geometry
2009-02-14 v3 Commutative Algebra
Abstract
We present a proof of the Harbourne-Hirschowitz conjecture for linear systems with base points of multiplicity seven or less. This proof uses a well-known degeneration of the projective plane, as well as a combinatorial technique that arises from specializing points onto a line.
Cite
@article{arxiv.math/0406591,
title = {Linear systems in $\mathbb{P}^2$ with base points of bounded multiplicity},
author = {Stephanie Yang},
journal= {arXiv preprint arXiv:math/0406591},
year = {2009}
}
Comments
No major changes. Fixed about a dozen typos and updated journal information