Journal of Algebraic Geometry

Author(s): Stephanie Yang
Journal: J. Algebraic Geom. 16 (2007), 19-38.
Posted: September 21, 2006
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Abstract: We present a proof of the Harbourne-Hirschowitz conjecture for linear systems with multiple points of order

or less. This uses a well-known degeneration of the plane developed by Ciliberto and Miranda as well as a combinatorial game that arises from specializing points onto lines.

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