Normal forms and moduli spaces of curve singularities with semigroup
Weakly quasihomogeneous hypersurface singularities in positive characteristic.
Deformations of maximal Cohen-Macaulay modules.
Die strenge Approximationseigenschaft lokaler Ringe.
Der Cohensche Eliminationssatz in positiver Charakteristik
Singularities with exact Poincaré complex but not quasihomogeneous.
We give examples of complete intersections in C3 with exact Poincaré complex but not quasihomogeneous using the classification of C.T.C. and the algorithm of Mora.
An Introduction to the Tangent Cone Algorithm
An algorithm for primary decomposition in polynomial rings over the integers
We present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the integers. For this purpose we use algorithms for primary decomposition in polynomial rings over the rationals, resp. over finite fields, and the idea of Shimoyama-Yokoyama, resp. Eisenbud-Hunecke-Vasconcelos, to extract primary ideals from pseudo-primary ideals. A parallelized version of the algorithm is implemented in Singular. Examples and timings are given at the end of the article.
About the computation of the signature of surface singularities z N + g(x, y) = 0
In this article we describe our experiences with a parallel Singular implementation of the signature of a surface singularity defined by z N + g(x; y) = 0.
On modular computation of standard basis.
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