Rational 1- and 2-cuspidal plane curves.
Rational approximation to real points on conics
A point with coordinates in a subfield of of transcendence degree one over , with linearly independent over , may have a uniform exponent of approximation by elements of that is strictly larger than the lower bound given by Dirichlet’s box principle. This appeared as a surprise, in connection to work of Davenport and Schmidt, for points of the parabola . The goal of this paper is to show that this phenomenon extends to all real conics defined over , and that the largest exponent of...
Rational Bézier curves with infinitely many integral points
In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients. Furthermore, we give algorithms for the construction of these curves and the computation of theirs points with integer coefficients.
Raumkurven vierter Ordnung zweiter Art auf einer Kreisringfläche.
Recherche des singularités qui ont rapport à une droite multiple d'une surface
Recherches analytiques sur la surface du troisième ordre qui est la réciproque de la surface de Steiner
Recovering an algebraic curve using its projections from different points. Applications to static and dynamic computational vision
We study some geometric configurations related to projections of an irreducible algebraic curve embedded in onto embedded projective planes. These configurations are motivated by applications to static and dynamic computational vision. More precisely, we study how an irreducible closed algebraic curve embedded in , of degree and genus , can be recovered using its projections from points onto embedded projective planes. The embeddings are unknown. The only input is the defining equation of...
Regularity bounds by minimal generators and Hilbert function.
Rokhlin's formula for dividing T-curves.