AbstractIn this paper we show that the ideal of any algebraic curve in affine 3-space whose Jacobian matrix has rank at least 1 at every singular point of the curve can be generated by three polynomials and we give constructive procedures to compute such generators
Affine algebraic curves are a tool applied in different fields, for instance CAGD. They are defined ...
The domain of this thesis is the geometry of algebraic curves and of their Jacobians (in zero charac...
this paper, we are interested in giving an upper bound for the degrees of the generators for an idea...
In this paper we show that the ideal of any algebraic curve in affine 3-space whose Jacobian matrix...
AbstractThis paper describes algorithms using Groebner basis techniques for parameterizing algebraic...
AbstractDetailed descriptions of Groebner bases of affine ideals of space curves in general position...
AbstractLet k be a field of characteristic zero and f(t),g(t) be polynomials in k[t]. For a plane cu...
AbstractWe pose a conjecture for the expected number of generators of the ideal of the union C of s ...
AbstractIn this paper, continuing work of the second author (J. Pure Appl. Algebra 155 (2001) 77) fo...
In this paper, continuing work of the second author (J. Pure Appl. Algebra 155 (2001) 77) for ration...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
Let C be an algebraic space curve defined by a rational parametrization P(t)∈K(t)ℓ, ℓ≥2. In this pap...
AbstractLet K be an algebraically closed field, V⊂Kn be a smooth equidimensional algebraic variety a...
Given an algebraic curve in the complex affine plane, we describe how to determine all planar polyno...
Let C be an irreducible projective curve of degree d in P^n(K), where K is an algebraically closed...
Affine algebraic curves are a tool applied in different fields, for instance CAGD. They are defined ...
The domain of this thesis is the geometry of algebraic curves and of their Jacobians (in zero charac...
this paper, we are interested in giving an upper bound for the degrees of the generators for an idea...
In this paper we show that the ideal of any algebraic curve in affine 3-space whose Jacobian matrix...
AbstractThis paper describes algorithms using Groebner basis techniques for parameterizing algebraic...
AbstractDetailed descriptions of Groebner bases of affine ideals of space curves in general position...
AbstractLet k be a field of characteristic zero and f(t),g(t) be polynomials in k[t]. For a plane cu...
AbstractWe pose a conjecture for the expected number of generators of the ideal of the union C of s ...
AbstractIn this paper, continuing work of the second author (J. Pure Appl. Algebra 155 (2001) 77) fo...
In this paper, continuing work of the second author (J. Pure Appl. Algebra 155 (2001) 77) for ration...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
Let C be an algebraic space curve defined by a rational parametrization P(t)∈K(t)ℓ, ℓ≥2. In this pap...
AbstractLet K be an algebraically closed field, V⊂Kn be a smooth equidimensional algebraic variety a...
Given an algebraic curve in the complex affine plane, we describe how to determine all planar polyno...
Let C be an irreducible projective curve of degree d in P^n(K), where K is an algebraically closed...
Affine algebraic curves are a tool applied in different fields, for instance CAGD. They are defined ...
The domain of this thesis is the geometry of algebraic curves and of their Jacobians (in zero charac...
this paper, we are interested in giving an upper bound for the degrees of the generators for an idea...
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