On the computation of symbolic powers of some curves in .
On the depth and regularity of the symmetric algebra.
On the Deviation and the Type of a Cohen-Macaulay Ring.
On the deviations of a local ring.
On the Dimension and Integrality of Symmetric Algebras.
On the Finite Generation of Symbolic Blow-Ups.
On the Gorenstein property of form rings.
On the Gorenstein Property of Rees Algebras.
On the Gorenstein property of the associated graded Ring of a power of an ideal.
On the Grade of Some Ideals.
On the grades of order ideals.
On the hereditary -Buchsbaum property for ideals and .
On the Hilbert series of the homology of differential gaded algebras.
On the homogeneous ideal of unreduced projective schemes.
On the ... in a minimal injective resolution II.
On the intersection multiplicity of images under an etale morphism
We present a formula for the intersection multiplicity of the images of two subvarieties under an etale morphism between smooth varieties over a field k. It is a generalization of Fulton's Example 8.2.5 from [3], where a strong additional assumption has been imposed. In a special case where the base field k is algebraically closed and a proper component of the intersection is a closed point, intersection multiplicity is an invariant of etale morphisms. This corresponds with analytic geometry where...
On the intersection multiplicity of improper components in algebraic geometry
On the Length of Faithful Modules over Artinian Local Rings.
On the local uniformization problem
In this paper we give a short introduction to the local uniformization problem. This follows a similar line as the one presented by the second author in his talk at ALANT 3. We also discuss our paper on the reduction of local uniformization to the rank one case. In that paper, we prove that in order to obtain local uniformization for valuations centered at objects of a subcategory of the category of noetherian integral domains, it is enough to prove it for rank one valuations centered at objects...
On the minimal reduction and multiplicity of .