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

@article{Yang2004LinearSI,
  title={Linear systems in \$\mathbb\{P\}^2\$ with base points of bounded multiplicity},
  author={Stephanie Yang},
  journal={Journal of Algebraic Geometry},
  year={2004},
  volume={16},
  pages={19-38}
}
  • Stephanie Yang
  • Published 29 June 2004
  • Mathematics
  • Journal of Algebraic Geometry
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. 
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