Approximation diophantienne dans les corps de séries en plusieurs variables
Nous montrons ici un théorème d’approximation diophantienne entre le corps des séries formelles en plusieurs variables et son complété pour la topologie de Krull.
Approximation Properties and Existential Completeness for Ring Morphisms.
Arcs analytiques et résolution minimale des singularités des surfaces quasi homogènes
Are the Isolated Singularities of Complete Intersections Determined by Their Singular Subspaces?
Arithmetic Monodromy Groups.
Arithmetic on certain quadric bundles of relative dimension 2. I.
Arithmetical aspects of saturation of singularities
Aritmética de los semigrupos de Arf y saturados. Aplicaciones.
Around the intersection form of an isolated singularity of hypersurface
Artin Approximation and Formal Fibres of Local Rings.
Artinian cofinite modules over complete Noetherian local rings
Let be a complete Noetherian local ring, an ideal of and a nonzero Artinian -module. In this paper it is shown that if is a prime ideal of such that and is not finitely generated and for each the -module is of finite length, then the -module is not of finite length. Using this result, it is shown that for all finitely generated -modules with and for all integers , the -modules are of finite length, if and only if, for all finitely generated -modules with and...
Asymptotic invariants of base loci
The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.
Berichtigung zu "Quasirationale Singularitäten".
Binäre Formen und Primideale.
Bornes pour la régularité de Castelnuovo-Mumford des schémas non lisses
Nous montrons dans cet article des bornes pour la régularité de Castelnuovo-Mumford d’un schéma admettant des singularités, en fonction des degrés des équations définissant le schéma, de sa dimension et de la dimension de son lieu singulier. Dans le cas où les singularités sont isolées, nous améliorons la borne fournie par Chardin et Ulrich et dans le cas général, nous établissons une borne doublement exponentielle en la dimension du lieu singulier.
Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic invariants such as dimension, codimension and degree. This paper studies a bound on the regularity conjectured by Hoa, and shows this bound and extremal examples in the case of divisors on rational normal scrolls.
Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings.
Calcul du nombre de cusps dans la déformation semi-universelle d'une singularité isolée d'hypersurface complexe
Canonical Classes on Singular Varieties.
Casson invariant of links of singularities.