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20112024
most citedThe Classification of Real Singularities Using SINGULAR. Part I: Splitting Lemma and Simple Singularities

6 citations · 16 across the 11 of their papers we have counts for

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math.AG2024

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…

math.AG2024

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…