A VARIANT OF A BASE-POINT-FREE PENCIL TRICK AND LINEAR SYSTEMS ON A PLANE CURVE

  • Homma, Masaaki ;
  • Ohbuchi, Akira
  • Published : 1999.03.01

Abstract

We prove two variants of a base-point-free pencil trick, which are similar in the spirit of the proof, and apply them to the study of special divisors on a smooth plane curve involving a theorem of Max Noether.

Keywords

smooth plane curve;linear system;variety of special divisors

References

  1. J. Math. Kyoto Univ. v.26 Generalized divisiors on Gorenstein curves and a theorem of Noether R. Hartshorne
  2. Geometry of algebraic curves E. Arbarello;M. Cornalba;P. A. Griffiths;J. Harris
  3. Varieties defined by quadratic equations, in: Questioni sulle varieta algebriche D. Mumford