Cutting diagram method for systems of plane curves with base points

Volume 90 / 2007

Marcin Dumnicki Annales Polonici Mathematici 90 (2007), 131-143 MSC: 14H50, 14Q05. DOI: 10.4064/ap90-2-3


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.


  • Marcin DumnickiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland

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