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- Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Andreas Steenpaß, Stefan Steidel
- J. Symb. Comput.
- 2013

Given a reduced affine algebra A over a perfect field K, we present parallel algorithms to compute the normalization A of A. Our starting point is the algorithm of [Greuel et al. (2010)], which is an… (More)

- Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister
- Math. Comput.
- 2015

A standard method for finding a rational number from its values modulo a collection of primes is to determine its value modulo the product of the primes via Chinese remaindering, and then use Farey… (More)

- Janko Böhm, Stavros A. Papadakis
- Australasian J. Combinatorics
- 2013

Unprojection theory aims to analyze and construct complicated commutative rings in terms of simpler ones. Our main result is that, on the algebraic level of Stanley–Reisner rings, stellar… (More)

- Janko Böhm
- 2007

Using tropical geometry we propose a mirror construction for monomial degenerations of Calabi-Yau varieties in toric Fano varieties. The construction reproduces the mirror constructions by Batyrev… (More)

We prove a tropical mirror symmetry theorem for descendant GromovWitten invariants of the elliptic curve, generalizing the tropical mirror symmetry theorem for Hurwitz numbers of the elliptic curve… (More)

Mirror symmetry relates Gromov-Witten invariants of an elliptic curve with certain integrals over Feynman graphs [9]. We prove a tropical generalization of mirror symmetry for elliptic curves, i.e.,… (More)

- Janko Böhm, Simon Keicher, Yue Ren
- 2016

We propose an algorithm to compute the GIT-fan for torus actions on affine varieties with symmetries. The algorithm combines computational techniques from commutative algebra, convex geometry and… (More)

We present a new algorithm for computing integral bases in algebraic function fields, or equivalently for constructing the normalization of a plane curve. Our basic strategy makes use of localization… (More)

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 then lift the… (More)

In (Arnold et al., 1985), Arnold has obtained normal forms and has developed a classifier for, in particular, all isolated hypersurface singularities over the complex numbers up to modality 2.… (More)