AbstractWe study a generalization of the concept of harmonic conjugation from projective geometry and full algebraic matroids to a larger class of matroids called harmonic matroids. We use harmonic conjugation to construct a projective plane of prime order in harmonic matroids without using the axioms of projective geometry. As a particular case we have a combinatorial construction of a projective plane of prime order in full algebraic matroids
Matroids are combinatorial abstractions of hyperplane arrangements, and have been a bridge for fruit...
AbstractThere are two concepts of duality in combinatorial geometry. A set theoretical one, generali...
Hyperplane arrangements form the geometric counterpart of combinatorial objects such as matroids. Th...
AbstractWe study a generalization of the concept of harmonic conjugation from projective geometry an...
AbstractThe points of a dense algebraic combinatorial geometry are equivalence classes of transcende...
AbstractGordon introduced a class of matroids M(n), for prime n≥2, such that M(n) is algebraically r...
Algebraic matroids are combinatorial objects defined by the set of coordinates of an algebraic varie...
Algebraic matroids are combinatorial objects that can be extracted from geometric problems, describi...
Matroids (also called combinatorial geometries) present a strong combinatorial generalization of gra...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950s...
AbstractFocusing on the interplay between properties of the Grassmann variety and properties of matr...
This thesis is a compendium of three studies on which matroids and convex geometry play a central ro...
Matroids arise from the abstract notion of dependency. Matroids can be studied from different points...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
Matroids are combinatorial abstractions of hyperplane arrangements, and have been a bridge for fruit...
AbstractThere are two concepts of duality in combinatorial geometry. A set theoretical one, generali...
Hyperplane arrangements form the geometric counterpart of combinatorial objects such as matroids. Th...
AbstractWe study a generalization of the concept of harmonic conjugation from projective geometry an...
AbstractThe points of a dense algebraic combinatorial geometry are equivalence classes of transcende...
AbstractGordon introduced a class of matroids M(n), for prime n≥2, such that M(n) is algebraically r...
Algebraic matroids are combinatorial objects defined by the set of coordinates of an algebraic varie...
Algebraic matroids are combinatorial objects that can be extracted from geometric problems, describi...
Matroids (also called combinatorial geometries) present a strong combinatorial generalization of gra...
Given a harmonic function U in a domain Ω in Euclidean space, the problem of finding a harmonic conj...
Matroids have been defined in 1935 as generalization of graphs and matrices. Starting from the 1950s...
AbstractFocusing on the interplay between properties of the Grassmann variety and properties of matr...
This thesis is a compendium of three studies on which matroids and convex geometry play a central ro...
Matroids arise from the abstract notion of dependency. Matroids can be studied from different points...
This paper studies the properties of two kinds of matroids: (a) algebraic matroids and (b) finite an...
Matroids are combinatorial abstractions of hyperplane arrangements, and have been a bridge for fruit...
AbstractThere are two concepts of duality in combinatorial geometry. A set theoretical one, generali...
Hyperplane arrangements form the geometric counterpart of combinatorial objects such as matroids. Th...
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