26 citations · 96 across the 23 of their papers we have counts for
29 papers
Classification of Unimodal Parametric Plane Curve Singularities in Positive Characteristic
Muhammad Ahsan Binyamin, Gert-Martin Greuel, Khawar Mehmood +1
In 2011, Hefez and Hernandes completed Zariski's analytic classification of plane branches belonging to a certain equisingularity class by creating "very short" parameterizations o…
Using Semicontinuity for Standard Bases Computations
Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann
We present new results and an algorithm for standard basis computations of a 0-dimensional ideal I in a power series ring or in the localization of a polynomial ring in finitely ma…
The Delta Invariant and Simultaneous Normalization for Families of Isolated Non-Normal Singularities
Gert-Martin Greuel, Gerhard Pfister
We consider families of schemes over arbitrary fields resp. analytic varieties with finitely many (not necessarily reduced) isolated non-normal singularities, in particular familie…
History of Singular and its relation to Zariski's multiplicty conjecture
Gert-Martin Greuel, Gerhard Pfister
We give a brief historical overview of the development of the Computer Algebra System SINGULAR: why it came about and how the development was related to the attempt to refute Zaris…
On Delta for parameterized Curve Singularities
Gert-Martin Greuel, Gerhard Pfister
We consider families of parameterizations of reduced curve singularities over a Noetherian base scheme and prove that the delta invariant is semicontinuous. In our setting, each cu…
Classification of Complex Singularities with Non-Degenerate Newton Boundary
Janko Boehm, Magdaleen S. Marais, Gerhard Pfister
In his groundbreaking work on classification of singularities with regard to right and stable equivalence of germs, Arnold has listed normal forms for all isolated hypersurface sin…