Le théorème des zéros pour les corps ordonnés
Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Multiplicative properties of projectively dual varieties.
On irreducible components of a Weierstrass-type variety
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.
On primary and reduced varieties of monoassociative algebras.
On the embedding dimension of an affine variety.
On the Homotopy Groups of Complex Projective Algebraic Manifolds.
On the Homotopy Groups of Complex Projective Algebraic Manifolds.
On the space of real algebraic morphisms
In this Note, we announce several results concerning basic properties of the spaces of morphisms between real algebraic varieties. Our results show a surprising intrinsic rigidity of Real Algebraic Geometry and illustrate the great distance which, in some sense, exists between this geometry and Real Nash one. Let us give an example of this rigidity. An affine real algebraic variety is rigid if, for each affine irreducible real algebraic variety , the set of all nonconstant regular morphisms from...
Polytopal linear algebra.
Propriétés (Q) et (C). Variété commutante
Soient une variété algébrique complexe, lisse, irréductible, et deux espaces vectoriels complexes de dimension finie et un morphisme de dans l’espace Lin des applications linéaires de dans . Pour , on note et le noyau et l’image de , le morphisme de dans Lin qui associe à l’application linéaire . Soit i la dimension minimale de . On dit que ala propriété en si i est inférieur à i. Soient le dual de , S l’algèbre symétrique de , l’idéal de engendré par...
Quasi-affine algebraic monoids.
Seminormal graded rings and weakly normal projective varieties.
Singular homology of abstract algebraic varieties.
Some finiteness properties of the fundamental group of a smooth variety
Sufficiency of Jets via Stratification Theory.
Sur la simplification par les tores complexes.
Technique de descente et théorèmes d'existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats
The Algebraic and Geometric Classification of Associative Algebras of Dimension Five.