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arXiv:math/0406591 [math.AG]AbstractReferencesReviewsResources

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

Stephanie Yang

Published 2004-06-29, updated 2009-02-14Version 3

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.

Comments: No major changes. Fixed about a dozen typos and updated journal information
Journal: J. Algebraic Geom. 16 (2007), 19-38
Categories: math.AG, math.AC
Subjects: 14H50, 14N15
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