4 citations · 5 across the 5 of their papers we have counts for
5 papers
Finiteness theorems in stochastic integer programming
Matthias Aschenbrenner, Raymond Hemmecke
We study Graver test sets for families of linear multi-stage stochastic integer programs with varying number of scenarios. We show that these test sets can be decomposed into finit…
Lefschetz extensions, tight closure, and big Cohen-Macaulay algebras
Matthias Aschenbrenner, Hans Schoutens
We associate to every equicharacteristic zero Noetherian local ring a faithfully flat ring extension which is an ultraproduct of rings of various prime characteristics, in a we…
Bounds and definability in polynomial rings
Matthias Aschenbrenner
We study questions around the existence of bounds and the dependence on parameters for linear-algebraic problems in polynomial rings over rings of an arithmetic flavor.In particula…
Ideal Membership in Polynomial Rings over the Integers
Matthias Aschenbrenner
We present a new approach to the ideal membership problem for polynomial rings over the integers: given polynomials , where is an -tup…
Orderings of Monomial Ideals
Matthias Aschenbrenner, Wai-Yan Pong
We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of…