1 citations · 1 across the 3 of their papers we have counts for
4 papers
Moduli Parameters of Complex Singularities with Non-Degenerate Newton Boundary
Janko Boehm, Magdaleen S. Marais, Gerhard Pfister
Our recent extension of Arnold's classification includes all singularities of corank up to two equivalent to a germ with a non-degenerate Newton boundary, thus broadening the class…
Massively Parallel Modular Methods in Commutative Algebra and Algebraic Geometry
Dirk Basson, Janko Boehm, Magdaleen S. Marais +2
Computations over the rational numbers often encounter the problem of intermediate coefficient growth. A solution to this is provided by modular methods, which apply the algorithm…
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…
A Classification Algorithm for Complex Singularities of Corank and Modality up to Two
Janko Boehm, Magdaleen S. Marais, Gerhard Pfister
In (Arnold, 1985), V.I. Arnold has obtained normal forms and has developed a classifier for, in particular, all isolated hypersurface singularities over the complex numbers up to m…