A criterion for tangential flatness.
Algebraic tubular neighbourhoods I.
Applications of Functional Analysis to the Solution of Power Series Equations.
Conservation des propriétés des fibres formelles d'un anneau semi-local noethérien par complétion adique
Critères de platitude et de projectivité Techniques de "platification" d'un module.
Critical Points of an Algebraic Function.
Extension of Morphisms Defined on a Divisor.
Factorization of Birational Morphisms with Fiber Dimension Bounded by 1.
Fermeture intégrale et changement de base
Forme normale d'une fonction sur une surface de caractéristique positive
Homotopy theory of simplicial schemes
Local characterization of algebraic manifolds and characterization of components of the set
We show that every n-dimensional smooth algebraic variety X can be covered by Zariski open subsets which are isomorphic to closed smooth hypersurfaces in . As an application we show that forevery (pure) n-1-dimensional ℂ-uniruled variety there is a generically-finite (even quasi-finite) polynomial mapping such that . This gives (together with [3]) a full characterization of irreducible components of the set for generically-finite polynomial mappings .
Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology.
Logarithmic geometry and algebraic stacks
On a characterization of an abelian variety in the classification theory of algebraic varieties
On One-Parameter Family of Affine Planes.
On the Jacobian criterion of formal smoothness.
We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.
Permanence of local properties under hyperplane sections
Platitude d'une adhérence schématique et lemme de Hironaka généralisé.
Proximité évanescente. II. Équations fonctionnelles pour plusieurs fonctions analytiques