L. Katthän

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20172019

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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.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 $x^{a} - c x^{b}$ with c in k, or by unital…

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

When is a polynomial ideal binomial after an ambient automorphism?

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