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arxiv: math/0606716 · v1 · submitted 2006-06-28 · 🧮 math.AG

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

classification 🧮 math.AG
keywords basemethodpointslinearsystemsboundedconjecturecurves
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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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