Linear systems in $\mathbb{P}^2$ with base points of bounded multiplicity

Stephanie Yang

Linear systems in $\mathbb{P}^2$ with base points of bounded multiplicity

代数几何 2009-02-14 v3 交换代数

作者: Stephanie Yang

摘要

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.

关键词

incidence geometry of points and lines hurwitz numbers projective geometry

引用

@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}
}

备注

No major changes. Fixed about a dozen typos and updated journal information

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