77 citations · 186 across the 20 of their papers we have counts for
3 papers · 1 filter
Bounds for the Betti numbers of successive stellar subdivisions of a simplex
Janko Boehm, Stavros Argyrios Papadakis
We give a bound for the Betti numbers of the Stanley-Reisner ring of a stellar subdivision of a Gorenstein* simplicial complex by applying unprojection theory. From this we derive…
The use of Bad Primes in Rational Reconstruction
Janko Boehm, Wolfram Decker, Claus Fieker +1
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, a…
Decomposition of Monomial Algebras: Applications and Algorithms
Janko Boehm, David Eisenbud, Max Joachim Nitsche
Considering finite extensions K[A] \subseteq K[B] of positive affine semigroup rings over a field K we have developed in [1] an algorithm to decompose K[B] as a direct sum of monom…