Positive semigroups in lattices and totally real number fields

DOI10.1515/advgeom-2022-0011OpenAlexW3165849683MaRDI QIDQ2087442

Siki Wang, Lenny Fukshansky

Publication date: 21 October 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10458

zbMATH Keywords

heightslatticessuccessive minimatotally real number fieldsaffine semigroups

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Heights (11G50) Totally real fields (11R80)

Cites Work

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• Restricted successive minima
• Positive semigroups and generalized Frobenius numbers over totally real number fields
• Integral points of small height outside of a hypersurface
• Measuring solid angles beyond dimension three
• An Introduction to the Geometry of Numbers
• Axiomatic characterization of fields by the product formula for valuations

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