22 citations · 55 across the 7 of their papers we have counts for
3 papers · 1 filter
The Classification of Real Singularities Using Singular. Part III: Unimodal Singularities of Corank 2
Janko Boehm, Magdaleen S. Marais, Andreas Steenpass
We present a classification algorithm for isolated hypersurface singularities of corank 2 and modality 1 over the real numbers. For a singularity given by a polynomial over the rat…
Gröbner Bases over Algebraic Number Fields
Dereje Kifle Boku, Claus Fieker, Wolfram Decker +1
Although Buchberger's algorithm, in theory, allows us to compute Gröbner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the g…
Refined Algorithms to Compute Syzygies
Burcin Erocal, Oleksandr Motsak, Frank-Olaf Schreyer +1
Based on Schreyer's algorithm (Schreyer, 1980, 1991; Berkesch and Schreyer, 2014), we present two refined algorithms for the computation of syzygies. The two main ideas of the firs…