Emptiness of homogeneous linear systems with ten general base points
Ciro CilibertoUniversità di Roma, Italy
Olivia DumitrescuColorado State University, Fort Collins, USA
Rick MirandaColorado State University, Fort Collins, United States
Joaquim RoéUniversitat Autònoma de Barcelona, Bellaterra, Spain
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In this paper we give a new proof of the fact that for all pairs of positive integers (d,m) with d/m < 117/37, the linear system of plane curves of degree d with ten general base points of multiplicity m is empty.