5 papers
Tropical Mirror Symmetry in Dimension One
Janko Böhm, Christoph Goldner, Hannah Markwig
We prove a tropical mirror symmetry theorem for descendant Gromov-Witten invariants of the elliptic curve, generalizing the tropical mirror symmetry theorem for Hurwitz numbers of…
Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
Janko Boehm, Alessandro Georgoudis, Kasper J. Larsen +2
Integration-by-parts identities between loop integrals arise from the vanishing integration of total derivatives in dimensional regularization. Generic choices of total derivatives…
Bad Primes in Computational Algebraic Geometry
Janko Boehm, Wolfram Decker, Claus Fieker +2
Computations over the rational numbers often suffer from intermediate coefficient swell. One solution to this problem is to apply the given algorithm modulo a number of primes and…
Current Challenges in Developing Open Source Computer Algebra Systems
Janko Boehm, Wolfram Decker, Simon Keicher +1
This note is based on the plenary talk given by the second author at MACIS 2015, the Sixth International Conference on Mathematical Aspects of Computer and Information Sciences. Mo…
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…