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Article
Cyclic coverigns and Seshadri constants on smooth surfaces
Forum Mathematicum (2008)
  • Luis Fuentes García
Abstract

We study the Seshadri constants of cyclic coverings of smooth surfaces. The existence of an automorphism on these surfaces can be used to produce Seshadri exceptional curves. We apply this method to n-cyclic coverings of the projective plane. When 2 ≤ n ≤ 9, explicit values are obtained. We relate this problem with the Nagata conjecture.

Keywords
  • Seshadri constants; cyclic coverings
Disciplines
Publication Date
2008
Citation Information
Luis Fuentes García. "Cyclic coverigns and Seshadri constants on smooth surfaces" Forum Mathematicum Vol. 20 (2008)
Available at: http://works.bepress.com/luis_fuentesgarcia/19/