Emptiness of homogeneous linear systems with ten general base points

  • Ciro Ciliberto

    Università di Roma, Italy
  • Olivia Dumitrescu

    Colorado State University, Fort Collins, USA
  • Rick Miranda

    Colorado State University, Fort Collins, United States
  • Joaquim Roé

    Universitat Autònoma de Barcelona, Bellaterra, Spain
Emptiness of homogeneous linear systems with ten general base points cover

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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.