Asymptotic behaviour of monomial ideals on regular sequences.
Balanced projective dimension of modules
Base Change Transitivity and Künneth Formulas for the Quillen Decomposition of Hochschild Homology.
Bass numbers and Golod rings.
Berechnung einiger Poincaré-Reihen
Betti numbers and the integral closure of ideals.
Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables.
Betti numbers of monoid algebras. Applications to 2-dimensional torus imbeddings.
Betti numbers of monomial ideals and shifted skew shapes.
Betti numbers of some circulant graphs
Let be the greatest odd integer less than or equal to . In this paper we provide explicit formulae to compute -graded Betti numbers of the circulant graphs . We do this by showing that this graph is the product (or join) of the cycle by itself, and computing Betti numbers of . We also discuss whether such a graph (more generally, ) is well-covered, Cohen-Macaulay, sequentially Cohen-Macaulay, Buchsbaum, or .
Binäre Formen und Primideale.
Birational invariants in the case of prime characteristic.
Borel ideals in three variables.
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 for Castelnuovo's regularity and the genus of projective varieties
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.
Bounds on multisecant lines.
The purpose of this paper is twofold. First, we give an upper bound on the order of a multisecant line to an integral arithmetically Cohen-Macaulay subscheme in Pn of codimension two in terms of the Hilbert function. Secondly, we give an explicit description of the singular locus of the blow up of an arbitrary local ring at a complete intersection ideal. This description is used to refine a standard linking theorem. These results are tied together by the construction of sharp examples for the bound,...
-Gorenstein projective, injective and flat modules
By analogy with the projective, injective and flat modules, in this paper we study some properties of -Gorenstein projective, injective and flat modules and discuss some connections between -Gorenstein injective and -Gorenstein flat modules. We also investigate some connections between -Gorenstein projective, injective and flat modules of change of rings.
Caractères numériques et fonctions de Macaulay.
The postulation of Aritméticamente Cohen-Macaulay (ACM) subschemes of the projective space PkN is well known in the case of codimension 2. There are many different ways of recording this numerical information: numerical character of Gruson/Peskine, h-vector, postulation character of Martin-Deschamps/Perrin... The first aim of this paper is to show the equivalence of these notions. The second and most important aim, is to study the postulation of codimension 3 ACM subschemes of PN. We use a result...