Polarizations of artin monomial ideals define triangulated balls
G Fløystad, A Mafi - arXiv preprint arXiv:2212.09528, 2022 - arxiv.org
We show that any polarization of an artin monomial ideal defines a triangulated ball. This
proves a conjecture of A. Almousa, H. Lohne and the first author. Geometrically …
proves a conjecture of A. Almousa, H. Lohne and the first author. Geometrically …
Root polytopes, tropical types, and toric edge ideals
A Almousa, A Dochtermann, B Smith - arXiv preprint arXiv:2209.09851, 2022 - arxiv.org
We consider arrangements of tropical hyperplanes where the apices of the hyperplanes are
taken to infinity in certain directions. Such an arrangement defines a decomposition of …
taken to infinity in certain directions. Such an arrangement defines a decomposition of …
On restricted powers of complete intersections
K VandeBogert - Communications in Algebra, 2023 - Taylor & Francis
A restricted d th power of an ideal I is obtained by restricting the exponent vectors allowed to
appear on the “natural” generating set of Id, for some integer d. In this paper, we study …
appear on the “natural” generating set of Id, for some integer d. In this paper, we study …