Cutting diagram method for systems of plane curves with base points
Volume 90 / 2007
Annales Polonici Mathematici 90 (2007), 131-143
MSC: 14H50, 14Q05.
DOI: 10.4064/ap90-2-3
Abstract
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.
