A Desargues configuration is the configuration of 10 points and 10 lines of the clas-sical theorem of Desargues in the complex projective plane. For a precise definition see Section 2. The Greek mathematician C. Stephanos showed in 1883 (see [10]) that one can associate to every Desargues configuration a curve of genus 2 in a canonica
Tropical geometry is a rather new field of algebraic geometry. The main idea is to replace algebraic...
A lower bound on the minimum degree of the plane algebraic curves containing every point in a large ...
In this article we will use the Desargues ’ theorem and its reciprocal to solve two problems. For be...
In this note we shall show that the Desargues configuration 103 can be regarded as a set of 24 self-...
In a projective plane over a field F, the diagonal points of a quadrangle are collinear if and only ...
Given a collection of l general lines L_1,...,L_l in P^2 the star configuration X is the set of poin...
AbstractFormalizing geometry theorems in a proof assistant like Coq is challenging. As emphasized in...
Let’s consider the points A1,...,An situated on the same plane, and B1,...,Bn situated on another pl...
By a theorem of Gromov, for an almost complex structure J on CP2 tamed by the standard symplectic st...
This work studies the construction of algebraic curves by means of mechanical plotting tools designe...
50 pages, 21 figuresInternational audienceFinding the so-called characteristic numbers of the comple...
55 pages, 23 figuresInternational audienceFinding the so-called characteristic numbers of the comple...
This paper describes with illustrations how the expanded version of the four-dimensional solid calle...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
Let be obtained from the affine plane with 9 points by removing at most 4 lines. We describe the em...
Tropical geometry is a rather new field of algebraic geometry. The main idea is to replace algebraic...
A lower bound on the minimum degree of the plane algebraic curves containing every point in a large ...
In this article we will use the Desargues ’ theorem and its reciprocal to solve two problems. For be...
In this note we shall show that the Desargues configuration 103 can be regarded as a set of 24 self-...
In a projective plane over a field F, the diagonal points of a quadrangle are collinear if and only ...
Given a collection of l general lines L_1,...,L_l in P^2 the star configuration X is the set of poin...
AbstractFormalizing geometry theorems in a proof assistant like Coq is challenging. As emphasized in...
Let’s consider the points A1,...,An situated on the same plane, and B1,...,Bn situated on another pl...
By a theorem of Gromov, for an almost complex structure J on CP2 tamed by the standard symplectic st...
This work studies the construction of algebraic curves by means of mechanical plotting tools designe...
50 pages, 21 figuresInternational audienceFinding the so-called characteristic numbers of the comple...
55 pages, 23 figuresInternational audienceFinding the so-called characteristic numbers of the comple...
This paper describes with illustrations how the expanded version of the four-dimensional solid calle...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
Let be obtained from the affine plane with 9 points by removing at most 4 lines. We describe the em...
Tropical geometry is a rather new field of algebraic geometry. The main idea is to replace algebraic...
A lower bound on the minimum degree of the plane algebraic curves containing every point in a large ...
In this article we will use the Desargues ’ theorem and its reciprocal to solve two problems. For be...