Emptiness of homogeneous linear systems with ten general base points
Ciro Ciliberto
Università di Roma, ItalyOlivia Dumitrescu
Colorado State University, Fort Collins, USARick Miranda
Colorado State University, Fort Collins, United StatesJoaquim Roé
Universitat Autònoma de Barcelona, Bellaterra, Spain
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Abstract
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.