Add to ORKGWe are interested in computing alternate sums of Euler characteristics of some particular semialgebraic sets, intersections of an algebraic one, smooth or with nitely many singularities, with sets given by just one polynomial inequality. We state theorems relating these alternate sums of characteristics to some topological degrees at innity of polynomial mappings
33 pages, 2 figures, 5 tablesIn a first contribution, we revisit two certificates of positivity on (...
AbstractThe Euler–Poincaré characteristic of a finite-dimensional Lie algebra vanishes. If we want t...
AbstractWe give explicit formulas for the dimensions and the degrees of A-discriminant varieties int...
AbstractIn this paper, we express the Euler characteristic of a semi-algebraic set which is an inter...
The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardina...
Suite aux travaux de Zbigniew Szafraniec et Nicolas Dutertre, je me suis intéressée aux calculs de c...
We express the Euler-Poincare ́ characteristic of a semi-algebraic set, which is the intersection of...
We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a...
The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are in...
Let R be a real closed field, Q ⊂ R[Y1 , . . . , Yl, X1 , . . . , Xk], with degY(Q) ≤ 2, degX(Q) ≤ d,...
In this paper, the concepts of Euler numbers and Euler polynomials are generalized, and some basic p...
We prove that the Eulerian polynomial satisfies certain polynomial congruences. Furthermore, these c...
Abstract. In this paper we prove new bounds on the sum of the Betti numbers of closed semi-algebraic...
Let R be a real closed field. The problem of obtaining tight bounds on the Betti numbers of semi-alg...
International audienceLet R be a real closed field, Q subset of R[Y-1, ... , Y-l , X-1, ... , X-k], ...
33 pages, 2 figures, 5 tablesIn a first contribution, we revisit two certificates of positivity on (...
AbstractThe Euler–Poincaré characteristic of a finite-dimensional Lie algebra vanishes. If we want t...
AbstractWe give explicit formulas for the dimensions and the degrees of A-discriminant varieties int...
AbstractIn this paper, we express the Euler characteristic of a semi-algebraic set which is an inter...
The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardina...
Suite aux travaux de Zbigniew Szafraniec et Nicolas Dutertre, je me suis intéressée aux calculs de c...
We express the Euler-Poincare ́ characteristic of a semi-algebraic set, which is the intersection of...
We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a...
The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are in...
Let R be a real closed field, Q ⊂ R[Y1 , . . . , Yl, X1 , . . . , Xk], with degY(Q) ≤ 2, degX(Q) ≤ d,...
In this paper, the concepts of Euler numbers and Euler polynomials are generalized, and some basic p...
We prove that the Eulerian polynomial satisfies certain polynomial congruences. Furthermore, these c...
Abstract. In this paper we prove new bounds on the sum of the Betti numbers of closed semi-algebraic...
Let R be a real closed field. The problem of obtaining tight bounds on the Betti numbers of semi-alg...
International audienceLet R be a real closed field, Q subset of R[Y-1, ... , Y-l , X-1, ... , X-k], ...
33 pages, 2 figures, 5 tablesIn a first contribution, we revisit two certificates of positivity on (...
AbstractThe Euler–Poincaré characteristic of a finite-dimensional Lie algebra vanishes. If we want t...
AbstractWe give explicit formulas for the dimensions and the degrees of A-discriminant varieties int...