Paper Info
Title
Effective radical parametrization of trigonal curves
Abstract
Let $C$ be a non-hyperelliptic algebraic curve. It is known that its canonical image is the intersection of the quadrics that contain it, except when $C$ is trigonal (that is, it has a linear system of degree 3 and dimension 1) or isomorphic to a plane quintic (genus 6). In this context, we present a method to decide whether a given algebraic curve is trigonal, and in the affirmative case to compute a map from $C$ to the projective line whose fibers cut out the linear system.
Year
Venue
Keywords
2011
Clinical Orthopaedics and Related Research
algebraic geometry,algebraic curve,symbolic computation,linear system
Field
DocType
Volume
Topology,Combinatorics,Hyperelliptic curve,Projective line,Family of curves,Algebraic curve,Algebraic variety,Lie algebra,Mathematics,Algebraically closed field,Polar curve
Journal
abs/1104.2
Citations 
PageRank 
References 
2
0.65
2
Authors
2
Name
Order
Citations
PageRank
Josef Schicho112121.43
David Sevilla221.66