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MARTENS` DIMENSION THEOREM FOR CURVES OF EVEN GONALITY
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 Title & Authors
MARTENS` DIMENSION THEOREM FOR CURVES OF EVEN GONALITY
Kato, Takao;
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 Abstract
For a smooth projective irreducible algebraic curve C of odd gonality, the maximal possible dimension of the variety of special linear systems (C) is d-3r by a result of M. Coppens et at. [4]. This bound also holds if C does not admit an involution. Furthermore it is known that if dim d-3r-1 for a curve C of odd gonality, then C is of very special type of curves by a recent progress made by G. Martens [11] and Kato-Keem [9]. The purpose of this paper is to pursue similar results for curves of even gonality which does not admit an involution.
 Keywords
algebraic curves;linear series;gonality;Brill-Noether theory;
 Language
English
 Cited by
1.
On the variety Wdr(C) whose dimension is at least d−3r−2, Journal of Pure and Applied Algebra, 2004, 192, 1-3, 159  crossref(new windwow)
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