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Varieties connected by chains of lines
(SpringerDordrechtHolanda, 2014)
Affine solution sets of sparse polynomial systems
(Academic Press Ltd - Elsevier Science Ltd, 2013-04)
This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polynomial systems. For generic systems with fixed supports, we give combinatorial conditions for the existence of positive ...
Algorithms of Intrinsic Complexity for Point Searching in Compact Real Singular Hypersurfaces
(Springer, 2012-02)
For a real square-free multivariate polynomial F, we treat the general problem of finding real solutions of the equation F=0, provided that the real solution set {F=0}ℝ is compact. We allow that the equation F=0 may have ...
Higher order duality and toric embeddingsDualité d’ordre supérieur et immersions toriques
(Annales Inst Fourier, 2014-08)
The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983, is a natural generalization of the classical notion of projective duality. In this paper we study higher order dual varieties ...
On the geometry of polar varieties
(Springer, 2010-01)
We have developed in the past several algorithms with intrinsic complexity bounds for the problem of point finding in real algebraic varieties. Our aim here is to give a comprehensive presentation of the geometrical tools ...
Del Pezzo elliptic varieties of degree d <=4
(2019)
Let Y be a smooth del Pezzo variety of dimension n ≥ 3, i.e. a
smooth complex projective variety endowed with an ample divisor H such that
−KY = (n − 1)H. Let d be the degree Hn of Y and assume that d ≤ 4. Consider
a ...
Physical And Chemical Characteristics Of Common Bean Varieties
(Universidade Estadual de Londrina, 2016)
A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree
(2015)
Recently, Barraza-Rojas have described the action of the full automorphisms group on the Fermat curve of degree p, for p a prime integer, and obtained the group algebra decomposition of the corresponding Jacobian variety. ...
The group algebra decomposition of Fermat curves of prime degree
(Springer, 2015)
We describe the action of the full automorphisms group on the
Fermat curve of degree N. For N prime, we obtain the group algebra
decomposition of the corresponding Jacobian variety.