Vítězslav Kala - Universal quadratic forms and indecomposables in number fields: A survey

cm:10896 - Communications in Mathematics, July 17, 2023, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) - https://doi.org/10.46298/cm.10896
Universal quadratic forms and indecomposables in number fields: A surveyArticle

Authors: Vítězslav Kala

We give an overview of universal quadratic forms and lattices, focusing on the recent developments over the rings of integers in totally real number fields. In particular, we discuss indecomposable algebraic integers as one of the main tools.

Comment: 34 pages, journal version

https://doi.org/10.46298/cm.10896
Source: arXiv.org:2301.13222
Volume: Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications)
Published on: July 17, 2023
Accepted on: May 13, 2023
Submitted on: February 2, 2023
Keywords: Mathematics - Number Theory, 11A55, 11E12, 11E20, 11E25, 11H06, 11H55, 11R04, 11R11, 11R16, 11R21, 11R80
Licence: arXiv.org - Non-exclusive license to distribute

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