Effective radical parametrization of trigonal curves
نویسندگان
چکیده
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.
منابع مشابه
Radical parametrization of algebraic curves and surfaces
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ورودعنوان ژورنال:
- CoRR
دوره abs/1104.2470 شماره
صفحات -
تاریخ انتشار 2011