1 citations · 1 across the 2 of their papers we have counts for
7 papers
On the instability of syzygy bundles on toric surfaces
Lucie Devey, Milena Hering, Katharina Jochemko +1
We show that for every toric surface apart from the projective plane and a product of two projective lines and every ample line bundle there exists a polarisation such that the syz…
The Eulerian transformation
Petter Brändén, Katharina Jochemko
Eulerian polynomials are fundamental in combinatorics and algebra. In this paper we study the linear transformation defined by $\mat…
Symmetric decompositions and the Veronese construction
Katharina Jochemko
We study rational generating functions of sequences that agree with a polynomial and investigate symmetric decompositions of the numerator polynomial for subseq…
Linear recursions for integer point transforms
Katharina Jochemko
We consider the integer point transform of a po…
Arithmetic aspects of symmetric edge polytopes
Akihiro Higashitani, Katharina Jochemko, Mateusz Michałek
We investigate arithmetic, geometric and combinatorial properties of symmetric edge polytopes. We give a complete combinatorial description of their facets. By combining Gröbner ba…
Smooth centrally symmetric polytopes in dimension 3 are IDP
Matthias Beck, Christian Haase, Akihiro Higashitani +4
In 1997 Oda conjectured that every smooth lattice polytope has the integer decomposition property. We prove Oda's conjecture for centrally symmetric -dimensional polytopes, by s…