Classification of empty lattice 4-simplices of width larger than 2

Iglesias Valiño, Óscar; Santos, Francisco

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http://hdl.handle.net/2183/41000

Classification of empty lattice 4-simplices of width larger than 2

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IglesiasValino_Oscar_2017_Classification_of_empty_lattice_4_simplices_of_width_larger_than_2.pdf (607.77 KB)

Identifiers

URI: http://hdl.handle.net/2183/41000

DOI: 10.1016/j.endm.2017.07.019

Publication date

2017

Authors

Iglesias Valiño, Óscar

Santos, Francisco

Bibliographic citation

Iglesias Valiño, Ó., & Santos, F. (2017). Classification of empty lattice 4-simplices of width larger than 2. Electronic Notes in Discrete Mathematics, 61, 647-653. https://doi.org/10.1016/j.endm.2017.07.019

Abstract

[Abstract]: Combining an upper bound on the volume of empty lattice 4-simplices of large width with a computer enumeration we prove the following conjecture of Haase and Ziegler (2000): Except for 179 classes, of determinant at most 179, all empty 4-simplices have width one or two with respect to some integer functional.

Description

©2017 Elsevier B.V. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/bync-nd/4.0/. This version of the article has been accepted for publication in Electronic Notes in Discrete Mathematics. The Version of Record is available online at https://doi.org/10.1016/j.endm.2017.07.019