Über lokale Kohomologiegruppen hoher Ordnung.
Über Macaulayfizierung.
Über Spurfunktionen bei vollständigen Durchschnitten.
Ueber die minimale Dimension der assoziierten Primideale der Komplettion eines lokalen Integritätsbereiches.
Ultraproducts and Approximation in Local Rings I.
Ultraproducts and Approximation in Local Rings. II.
Une macaulayfication de certains anneaux locaux
Une propriété asymptotique des puissances symboliques d'un idéal. Application à la théorie de l'intersection sur les surfaces normales
Nous exprimons la multiplicité d’intersection de deux courbes se coupant au point singulier d’une surface normale en termes de valuations. C’est une généralisation du résultat connu pour les surfaces régulières.
Une remarque sur les anneaux locaux réguliers
Unmixed bipartite graphs.
Unobstructedness and dimension of families of Gorenstein algebras.
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a polynomial ring R. We prove a very general theorem on deformations of the homogeneous coordinate ring of a scheme Proj(A) which is defined as the degeneracy locus of a regular section of the dual of some sheaf M of rank r supported on say an arithmetically Cohen-Macaulay subscheme Proj(B) of Proj(R). Under certain conditions (notably; M maximally Cohen-Macaulay and ∧r M ≈ KB(t) a twist of the canonical...
Unramified Kummer extensions of prime power degree.
Upper Bounds for the Degrees of the Equations Defining Locally Cohen-Macaulay Schemes.
Vanishing of Cotangent Functors.
Variétés de codimension dans
When does the -signature exist?
We show that the -signature of an -finite local ring of characteristic exists when is either the localization of an -graded ring at its irrelevant ideal or -Gorenstein on its punctured spectrum. This extends results by Huneke, Leuschke, Yao and Singh and proves the existence of the -signature in the cases where weak -regularity is known to be equivalent to strong -regularity.
Witt rings of fields of quotients of two-dimensional regular local rings.
Zum Nachweis arithmetischer Cohen-Macaulay Varietäten.
Zur algebraischen Geometrie 20. Der Zusammenhangssatz und der Multiplizitätsbegriff.
Zur Berechnung von Schnittmultiplizitäten durch Längen