@article{10902/31806, year = {2023}, month = {12}, url = {https://hdl.handle.net/10902/31806}, 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.}, organization = {Santos is supported by grants PID2019-106188GB-I00 and PID2022-137283NB-C21 of MCIN/AEI/ 10.13039/501100011033 and project CLaPPo (21.SI03.64658) of Universidad de Cantabria and Banco Santander.}, publisher = {University of California. eScholarship}, publisher = {Combinatorial Theory, 2023, 3(3), 2}, title = {Unimodular covers of 3-dimensional parallelepipeds and Cayley sums}, author = {Codenotti, Giulia and Santos, Francisco}, }