Empty simplices of large width
An empty simplex is a lattice simplex in which vertices are the only lattice points. We show two constructions leading to the first known empty simplices of width larger than their dimension: ◦ We introduce cyclotomic simplices and exhaustively compute all the cyclotomic simplices of dimension...
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Main Authors: | Joseph Doolittle, Lukas Katthän, Benjamin Nill, Francisco Santos |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2025-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424001312/type/journal_article |
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