Deformation cones of 2-cubical combinatorial zonotopes

@misc{curtis2026deformation,
  title = {{Deformation cones of 2-cubical combinatorial zonotopes}},
  author = {Juliana Curtis and Grace O'Brien and Arnau Padrol and Germain Poullot},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13441},
  eprint = {2610.13441},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13441},
}

TY  - UNPB
TI  - Deformation cones of 2-cubical combinatorial zonotopes
AU  - Juliana Curtis
AU  - Grace O'Brien
AU  - Arnau Padrol
AU  - Germain Poullot
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13441
UR  - https://arxiv.org/abs/2610.13441
AB  - We prove that the dimension of the deformation cone of any polytope combinatorially equivalent to a 2-cubical zonotope is bounded above by the number of generators of the zonotope. This bound is tight, and we show that it cannot be improved to an identity. We further extend our results to any 2-cubical polytope whose normal fan is combinatorially isomorphic to a pseudohyperplane arrangement, but we show that it cannot be extended to arbitrary 2-cubical polytopes.
ER  -