Highly Influenced

@article{Schicho2013ComputationalAO, title={Computational aspects of gonal maps and radical parametrization of curves}, author={Josef Schicho and Frank-Olaf Schreyer and M. Weimann}, journal={Applicable Algebra in Engineering, Communication and Computing}, year={2013}, volume={24}, pages={313-341} }

- Published 2013 in Applicable Algebra in Engineering, Communication…
DOI:10.1007/s00200-013-0205-0

We develop in this article an algorithm that, given a projective curve $$C$$ C , computes a gonal map, that is, a finite morphism from $$C$$ C to $$\mathbb P ^1$$ P 1 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… CONTINUE READING

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