The complete classification of empty lattice 4-simplices

Iglesias Valiño, Óscar; Santos, Francisco

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http://hdl.handle.net/2183/40983

The complete classification of empty lattice 4-simplices

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IglesiasValino_Oscar_2018_The_complete_classification_of_empty_lattice_4_simplices.pdf (292.67 KB)

Identifiers

URI: http://hdl.handle.net/2183/40983

DOI: 10.1016/j.endm.2018.06.027

Publication date

2018-07

Authors

Iglesias Valiño, Óscar

Santos, Francisco

Bibliographic citation

Valiño, Ó. I., & Santos, F. (2018). The complete classification of empty lattice 4-simplices. Electronic Notes in Discrete Mathematics, 68, 155-160. https://doi.org/10.1016/j.endm.2018.06.027

Abstract

[Abstract]: In previous work we classified all empty 4-simplices of width at least three. We here classify those of width two. There are 2 two-parameter families that project to the second dilation of a unimodular triangle, 29+23 one-parameter families of them that project to hollow 3-polytopes, and 2282 individual ones that do not.

Description

©2018 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.2018.06.027