L. Katthän

activity

20122019

most citedSmooth centrally symmetric polytopes in dimension 3 are IDP

3 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AC2019

Graded Cohen-Macaulay domains and lattice polytopes with short $h$ -vector

Lukas Katthän, Kohji Yanagawa

Let P be a lattice polytope with $h^{*}$ -vector $(1, h_{1}^{*}, h_{2}^{*})$ . In this note we show that if $h_{2}^{*} \leq h_{1}^{*}$ , then $P$ 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…

Graded Cohen-Macaulay domains and lattice polytopes with short h-vector

A unified framework of SAGE and SONC polynomials and its duality theory

Graded Cohen-Macaulay domains and lattice polytopes with short $h$ -vector