A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
A K-Theoretic Approach to Multiplicities.
A method to estimate the degree of -sufficiency of analytic functions.
A note on Bézout's theorem
We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
A note on imperfect monomial curves in
A note on the computation of multiplicities.
A note on the intersection multiplicity
A Sharp Bound for the Minimal Number of Generators of Perfect Height Two Ideals.
A study of graded extremal rings and of monominal rings.
A theory of multiplicity for multiplictive filtrations.
Algebra Retracts and Poincaré-Series.
Alphabetical list of contributors of volume 37 (2008)
An Algebraic Formula for the Index of a Vector Field on an Isolated Complete Intersection Singularity
Let be a germ of a complete intersection variety in , , having an isolated singularity at and be the germ of a holomorphic vector field having an isolated zero at and tangent to . We show that in this case the homological index and the GSV-index coincide. In the case when the zero of is also isolated in the ambient space we give a formula for the homological index in terms of local linear algebra.
An application of type sequences to the blowing-up.
An Euler-Poincaré Characteristic for Improper Intersections.
An inequality for Hilbert series of graded algebras.
Anneaux locaux et espaces de lacets à séries de Poincaré irrationnelles
Associate forms, joins, multiplicities and an intrinsic elimination theory
Berechnung einiger Poincaré-Reihen
Bounds for the multiplicity of almost complete intersections.