[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.3.565

A REFINEMENT OF THE CLASSICAL CLIFFORD INEQUALITY

Iliev, Hristo (DEPARTMENT OF MATHEMATICS SEOUL NATIONAL UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 565-583 More about this Journal

Abstract

We offer a refinement of the classical Clifford inequality about special linear series on smooth irreducible complex curves. Namely, we prove about curves of genus g and odd gonality at least 5 that for any linear series $g^r_d$ with $d{\leq}g+1$ , the inequality $3r{\leq}d$ holds, except in a few sporadic cases. Further, we show that the dimension of the set of curves in the moduli space for which there exists a linear series $g^r_d$ with d<3r for $d{\leq}g+l,\;0{\leq}l{\leq}\frac{g}{2}-3$ , is bounded by $2g-1+\frac{1}{3}(g+2l+1)$ .

Keywords

gonality; divisors; Clifford inequality; special linear series;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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