Unimodular covers of 3-dimensional parallelepipeds and Cayley sums
We show that the following classes of lattice polytopes have unimodular covers, in dimension three: parallelepipeds, smooth centrally symmetric polytopes, and Cayley sums Cay (P, Q) where the normal fan of refines that of Q refines that of P. This improves results of Beck et al. (2018) and Haase et...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/31806 |
| Acceso en línea: | https://hdl.handle.net/10902/31806 |
| Access Level: | acceso abierto |
| Palabra clave: | Lattice polytopes Unimodular covers Integer decomposition property |
| Sumario: | We show that the following classes of lattice polytopes have unimodular covers, in dimension three: parallelepipeds, smooth centrally symmetric polytopes, and Cayley sums Cay (P, Q) where the normal fan of refines that of Q refines that of P. This improves results of Beck et al. (2018) and Haase et al. (2008) where the last two classes were shown to be IDP. |
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