2 citations · 2 across the 5 of their papers we have counts for
5 papers
Commutative Algebra and Algebraic Geometry using OSCAR
Janko Boehm, Wolfram Decker, Frank-Olaf Schreyer
We give illustrative examples of how the computer algebra system OSCAR can support research in commutative algebra and algebraic geometry. We start with a thorough introduction to…
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…
Algorithms for Gromov-Witten Invariants of Elliptic Curves
Firoozeh Aga, Janko Boehm, Alain Hoffmann +2
We present an enhanced algorithm for exploring mirror symmetry for elliptic curves through the correspondence of algebraic and tropical geometry, focusing on Gromov-Witten invarian…
pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning
Dominik Bendle, Janko Boehm, Murray Heymann +6
Multivariate partial fractioning is a powerful tool for simplifying rational function coefficients in scattering amplitude computations. Since current research problems lead to lar…