One-Dimensional Local Rings with Reduced Associated Graded Ring and Their Hilbert Functions.
One-fibered ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal
Let (R;m) be a 2-dimensional rational singularity with algebraically closed residue field and whose associated graded ring is an integrally closed domain. Göhner has shown that for every prime divisor v of R, there exists a unique one-fibered complete m-primary ideal A v in R with unique Rees valuation v and such that any complete m-primary ideal with unique Rees valuation v, is a power of A v. We show that for v ≠ ordR, A v is the inverse transform of a simple complete ideal in an immediate quadratic...
Orderings of Higher Level and Semilocal Rings.
Ordres de Gorenstein
Partial intersections and graded Betti numbers.
Partially defined cocycles and the Maslov index for a local ring
In this paper we study some aspects of the cohomology of groups and we construct a central extension of the symplectic group .
Pathological maximal R-sequences in quasilocal domains
Permanence of local properties under hyperplane sections
Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal m-primaire
Polynomes à valeurs entières sur un anneau non analytiquement irréductible.
Polynômes et dérivées à valeurs entières
Potenzreihenerweiterung und formale Fasern in lokalen Ringen mit Approximationseigenschaft.
Profondeur d’anneaux d’invariants en caractéristique
Projective Resolutions of Cohen-Macaulay Algebras.
Projektive Moduln über Polynomringen A[t1,...,Tm] mit einem regulären Grundring A.
Proximity relations for real rank one valuations dominating a local regular ring.
We study 0-dimensional real rank one valuations centered in a regular local ring of dimension n > 2 such that the associated valuation ring can be obtained from the regular ring by a sequence of quadratic transforms. We define two classical invariants associated to the valuation (the refined proximity matrix and the multiplicity sequence) and we show that are equivalent data of the valuation.
Puissances divisées des algèbres simpliciales en caractéristiques deux et séries de Poincaré de certains anneaux locaux.
Purity of the branch locus and Lefschetz theorems
Quadratic forms over rings of dimension 1.
Quadratic Spaces Over Polynomial Extensions of Regular Rings of Dimension 2.