On the Clifford index of algebraic curves

Author:

Ballico Edoardo

Abstract

Here we prove (over C {\mathbf {C}} ) that a general ( e + 2 ) (e + 2) -gonal algebraic curve of genus p p has no g d r g_d^r with d p 1 , r 2 d \leq p - 1,r \geq 2 and d 2 r e d - 2r \leq e .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Footnotes to a paper of Beniamino Segre: “On the modules of polygonal curves and on a complement to the Riemann existence theorem” (Italian) [Math. Ann. 100 (1928), 537–551; Jbuch 54, 685];Arbarello, Enrico;Math. Ann.,1981

2. On the projective normality of complete linear series on an algebraic curve;Green, Mark;Invent. Math.,1986

3. On the variety of special linear systems on a general algebraic curve;Griffiths, Phillip;Duke Math. J.,1980

4. Limit linear series: basic theory;Eisenbud, David;Invent. Math.,1986

5. On the Kodaira dimension of the moduli space of curves;Harris, Joe;Invent. Math.,1982

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