대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권3호
  • /
  • Pages.567-580
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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

  • Homma, Masaaki (department of Mathematics faculty of Engineering Kanagawa University) ;
  • Ohbuchi, Akira (Department of Mathematics Faculty of Integrated Arts. and sciences Tokushima University)
  • 발행 : 1999.03.01
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초록

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.

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참고문헌

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