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arXiv 2004-06-29 0 views

Linear systems in P² with base points of bounded multiplicity

Yang, Stephanie

Original · EN

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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