Unimodular covers of 3-dimensional parallelepipeds and Cayley sums

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URI: https://hdl.handle.net/10902/31806
ISSN: 2766-1334
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Autoría
Codenotti, Giulia; Santos, FranciscoAutoridad Unican
Fecha
2023-12
Derechos
©The authors. Released under the CC BY license (International 4.0).
Publicado en
Combinatorial Theory, 2023, 3(3), 2
Editorial
University of California. eScholarship
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Palabras clave
Lattice polytopes
Unimodular covers
Integer decomposition property
Resumen/Abstract
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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©The authors. Released under the CC BY license (International 4.0).Excepto si se señala otra cosa, la licencia del ítem se describe como ©The authors. Released under the CC BY license (International 4.0).