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A THEOREM OF CLIFFORD TYPE FOR LINEAR SYSTEMS ON CURVES

Takeshi Harui
대한수학회 (The Korean Mathematical Society)|2005.03|대한수학회지 (Journal of the KMS)|제42권 제2호|pp. 145-161

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Abstract

This paper concerns the relation between the degree and the projective dimension of linear systems on curves. We gen-eralize Cli??ord's theorem and its improvement by Coppens and G. Martens and classify the special curves for our problem, and estimate their gonality.

참고문헌 (7)

  1. "On Castelnuovo's inequality for algebraic curves I", pp.251 373~ (1979)
  2. "Geometry of AlgebraicCurves Vol. I", pp.~267 (1985), Springer-Verlag
  3. "M. Coppens and T. Kato The gonality of smooth curves with plane models", pp.25~ (1990)
  4. "C. Keem and G. MartensPrimitive linear series on curves", 77, pp.237~264 (1992)
  5. "G. Martens and F.-O. SchreyerThe Cliord dimension ofa projective curve", 72, pp.173~204 (1989)
  6. "The gonality of curves on a Hirzebruch surface", 67, pp.349~352 (1996)
  7. "The gonality of singular plane curvesAlgebraic Ge-ometry and Related Topics," (2003), Yamaguchi University

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