3 papers
math.AC2019
Graded Cohen-Macaulay domains and lattice polytopes with short -vector
Lukas Katthän, Kohji Yanagawa
Let P be a lattice polytope with -vector . In this note we show that if , then is IDP. More generally, we show the corresponding state…
math.AG2019
A unified framework of SAGE and SONC polynomials and its duality theory
Lukas Katthän, Helen Naumann, Thorsten Theobald
We introduce and study a cone which consists of a class of generalized polynomial functions and which provides a common framework for recent non-negativity certificates of polynomi…
math.AC2017
When is a polynomial ideal binomial after an ambient automorphism?
Lukas Katthän, Mateusz Michałek, Ezra Miller
Can an ideal I in a polynomial ring k[x] over a field be moved by a change of coordinates into a position where it is generated by binomials with c in k, or by unital…