Title
Computational aspects of gonal maps and radical parametrization of curves.
Abstract
We develop in this article an algorithm that, given a projective curve , computes a , that is, a finite morphism from to of minimal degree. Our method is based on the computation of scrollar syzygies of canonical curves. We develop an improved version of our algorithm for curves with a unique gonal map and we discuss a characterization of such curves in terms of Betti numbers. Finally, we derive an efficient algorithm for radical parametrization of curves of gonality .
Year
DOI
Venue
2013
10.1007/s00200-013-0205-0
Appl. Algebra Eng. Commun. Comput.
Keywords
DocType
Volume
Gonal map,Canonical curves,Scrolls,Betti table,Syzygies,Special linear series,Radical parametrization
Journal
24
Issue
ISSN
Citations 
5
0938-1279
2
PageRank 
References 
Authors
0.66
2
3
Name
Order
Citations
PageRank
Josef Schicho112121.43
Frank-Olaf Schreyer2103.98
M. Weimann371.57