We develop in this article an algorithm that, given a projective curve C, computes a gonal map, that is, a finite morphism from C to P1 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 ≤ 4
We introduce the notion of radical parametrization of a surface, and we provide algorithms to comput...
Let C be a smooth complex projective curve of genus g and let C(2) be its second symmetric product. ...
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficientl...
International audienceWe develop in this article an algorithm that, given a projective curve C, comp...
We study the problem of lifting curves from finite fields to number fields in a genus and gonality p...
Parametrization of algebraic curves and surfaces is a fundamental topic in CAGD (inter-sections; off...
summary:Here we study the gonality of several projective curves which arise in a natural way (e.g\. ...
AbstractWe present algorithms for parametrizing by radicals an irreducible curve, not necessarily pl...
Abstract. We present a method to control gonality of nonarchimedean curves based on graph the-ory. L...
We present a method to control gonality of nonarchimedean curves based on graph theory. Let k denote...
Abstract. Given number fields L ⊃ K, smooth projective curves C defined over L and B defined over K,...
A well-known theorem of Max Noether asserts that the gonality of a smooth curve C ⊂ P^2 of degree d ...
Gonality of curves means the minimal number among degree of rational functions on the curve. Here we...
AbstractFor an algebraic curveCwith genus 0 the vector spaceL(D) whereDis a divisor of degree 2 give...
This survey discusses algorithms and explicit calculations for curves of genus at least 2 and their...
We introduce the notion of radical parametrization of a surface, and we provide algorithms to comput...
Let C be a smooth complex projective curve of genus g and let C(2) be its second symmetric product. ...
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficientl...
International audienceWe develop in this article an algorithm that, given a projective curve C, comp...
We study the problem of lifting curves from finite fields to number fields in a genus and gonality p...
Parametrization of algebraic curves and surfaces is a fundamental topic in CAGD (inter-sections; off...
summary:Here we study the gonality of several projective curves which arise in a natural way (e.g\. ...
AbstractWe present algorithms for parametrizing by radicals an irreducible curve, not necessarily pl...
Abstract. We present a method to control gonality of nonarchimedean curves based on graph the-ory. L...
We present a method to control gonality of nonarchimedean curves based on graph theory. Let k denote...
Abstract. Given number fields L ⊃ K, smooth projective curves C defined over L and B defined over K,...
A well-known theorem of Max Noether asserts that the gonality of a smooth curve C ⊂ P^2 of degree d ...
Gonality of curves means the minimal number among degree of rational functions on the curve. Here we...
AbstractFor an algebraic curveCwith genus 0 the vector spaceL(D) whereDis a divisor of degree 2 give...
This survey discusses algorithms and explicit calculations for curves of genus at least 2 and their...
We introduce the notion of radical parametrization of a surface, and we provide algorithms to comput...
Let C be a smooth complex projective curve of genus g and let C(2) be its second symmetric product. ...
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficientl...