Some surprising Hilbert-Kunz functions.
Stability of Two-Dimensional Local Rings. I.
Standard systems of parameters and their blowing-up rings.
Stanley decompositions and polarization
We define nice partitions of the multicomplex associated with a Stanley ideal. As the main result we show that if the monomial ideal is a CM Stanley ideal, then is a Stanley ideal as well, where is the polarization of .
Stanley depth of monomial ideals with small number of generators
For a monomial ideal I ⊂ S = K[x 1...,x n], we show that sdepth(S/I) ≥ n − g(I), where g(I) is the number of the minimal monomial generators of I. If I =νI′, where ν ∈ S is a monomial, then we see that sdepth(S/I) = sdepth(S/I′). We prove that if I is a monomial ideal I ⊂ S minimally generated by three monomials, then I and S/I satisfy the Stanley conjecture. Given a saturated monomial ideal I ⊂ K[x 1,x 2,x 3] we show that sdepth(I) = 2. As a consequence, sdepth(I) ≥ sdepth(K[x 1,x 2,x 3]//I) +1...
Stretched -primary ideals.
Successioni di Gorenstein e proprietà
Sul polinomio di Hilbert di un modulo graduato
Sulle localizzazioni che conservano il grado
Sur la généralisation des fractions continues algébriques
Sur le théorème d'Auslander - Buchsbaum
Sur les anneaux universellement japonais
Sur les anneaux universellement japonais
Sur les idéaux jacobiens des courbes planes
Le ème idéal jacobien itéré d’une courbe complexe algébroïde plane a même clôture intégrale que l’idéal jacobien d’un élément général du ième idéal jacobien itéré. Ce résultat ramène pour les idéaux ci-dessus les calculs de multiplicité à des calculs de longueur.
Sur les invariants des pinceaux de formes quintiques binaires
On décrit l’algèbre des invariants de l’action naturelle du groupe sur les pinceaux de formes quintiques binaires.
Surjective-Buchsbaum modules over Cohen-Macauly local rings.
Symbolic powers, Serre Conditions and Cohen-Macaulay Rees Algebras.
Symmetry Groups in the Alhambra
Tangent cones at Gorenstein singularities
Tate resolution and the structure of the exact local ring