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Ehrhart-equivalent 3-polytopes are equidecomposable

Abstract: We show that if two lattice 3-polytopes P and P' have the same Ehrhart function, then they are GLd(Z)-equidecomposable, that is, they can be partitioned into relatively open simplices U1, ..., Uk and U'1, ..., U'k such that Ui and U'i are unimodularly equivalent for each i.

 Fuente: Proceedings of the American Mathematical Society, 2019, 147, 5373-5383

 Publisher: American Mathematical Society

 Year of publication: 2019

 No. of pages: 11

 Publication type: Article

 DOI: 10.1090/proc/14626

 ISSN: 0002-9939,1088-6826

 Spanish project: MTM2014-54207-P

 Publication Url: https://doi.org/10.1090/proc/14626

Authorship

ERBE, JAKOB

HAASE, CHRISTIAN