A theorem of Clifford type for linear systems on curves

Takeshi Harui

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J. Korean Math. Soc. 2005; 42(2): 335-351

Printed March 1, 2005

A theorem of Clifford type for linear systems on curves

Takeshi Harui

Osaka University

Abstract

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Abstract

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

Keywords: linear system, special divisor, Clifford's theorem, gonality

MSC numbers: 14H51