Open AccessComputational aspects of gonal maps and radical parametrization of curves
Author(s) -
Josef Schicho,
Frank–Olaf Schreyer,
Martin Weimann
Publication year - 2013
Publication title -
applicable algebra in engineering communication and computing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.558
H-Index - 35
eISSN - 1432-0622
pISSN - 0938-1279
DOI - 10.1007/s00200-013-0205-0
Subject(s) - parametrization (atmospheric modeling) , mathematics , morphism , computation , betti number , pure mathematics , piecewise , algorithm , mathematical analysis , physics , quantum mechanics , radiative transfer
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 .
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