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Seshadri constants of ruled surfaces: the rational and the elliptic cases
Manuscrpita Mathematica (2006)
  • Luis Fuentes García
Abstract

We study the Seshadri constants on geometrically ruled surfaces. The unstable case is completely solved. Moreover, we give some bounds for the stable case. We apply these results to compute the Seshadri constant of the rational and elliptic ruled surfaces. Both cases are completely determined. The elliptic case provides an interesting picture of how particular is the behavior of the Seshadri constants.

Keywords
  • Seshacdri constants; ruled surfaces
Disciplines
Publication Date
February, 2006
Citation Information
Luis Fuentes García. "Seshadri constants of ruled surfaces: the rational and the elliptic cases" Manuscrpita Mathematica Vol. 119 (2006)
Available at: http://works.bepress.com/luis_fuentesgarcia/15/