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Reduction method for linear systems of plane curves with base fat points

Marcin Dumnicki
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Abstract

In the paper we develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne Conjecture holds for systems with base points of equal multiplicity bounded by 42.

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Marcin Dumnicki. 2006-06-28. Reduction method for linear systems of plane curves with base fat points. https://arxiv.org/abs/math/0606716

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