Johannes Hofscheier

activity

20182021

collaborators

7 papers

math.MG2021

Generalised Flatness Constants: A Framework Applied in Dimension $2$

Giulia Codenotti, Thomas Hall, Johannes Hofscheier

Let $A \in {Z, R}$ and $X \subset R^{d}$ be a bounded set. Affine transformations given by an automorphism of $Z^{d}$ and a translation in $A^{d}$ …

math.AG2020

Cohomology rings of toric bundles and the ring of conditions

Johannes Hofscheier, Askold Khovanskii, Leonid Monin

The celebrated BKK Theorem expresses the number of roots of a system of generic Laurent polynomials in terms of the mixed volume of the corresponding system of Newton polytopes.Puk…

math.CO2019

Generalized flatness constants, spanning lattice polytopes, and the Gromov width

Gennadiy Averkov, Johannes Hofscheier, Benjamin Nill

In this paper we motivate some new directions of research regarding the lattice width of convex bodies. We show that convex bodies of sufficiently large width contain a unimodular…

math.AC2019

Splittings of Toric Ideals

Giuseppe Favacchio, Johannes Hofscheier, Graham Keiper +1

Let $I \subseteq R = K [x_{1}, \dots, x_{n}]$ be a toric ideal, i.e., a binomial prime ideal. We investigate when the ideal $I$ can be "split" into the sum of two smaller toric…

math.AC2018

Betti numbers of toric ideals of graphs: A case study

Federico Galetto, Johannes Hofscheier, Graham Keiper +3

We compute the graded Betti numbers for the toric ideal of a family of graphs constructed by adjoining a cycle to a complete bipartite graph. The key observation is that this famil…

math.AG2018

Containment Relations among Spherical Subgroups