Most totally real fields do not have universal forms or the Northcott property
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10507682" target="_blank" >RIV/00216208:11320/25:10507682 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jyBbR6.Zp7" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jyBbR6.Zp7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1073/pnas.2419414122" target="_blank" >10.1073/pnas.2419414122</a>
Alternative languages
Result language
angličtina
Original language name
Most totally real fields do not have universal forms or the Northcott property
Original language description
We show that, in the space of all totally real fields equipped with the constructibletopology, the set of fields that admit a universal quadratic form, or have the Northcottproperty, is meager. The main tool is a theorem on the number of square classes oftotally positive units represented by a quadratic lattice of a given rank.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GM21-00420M" target="_blank" >GM21-00420M: Universal Quadratic Forms and Class Numbers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the National Academy of Sciences of the United States of America
ISSN
0027-8424
e-ISSN
1091-6490
Volume of the periodical
122
Issue of the periodical within the volume
20
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
nestránkováno
UT code for WoS article
001496274500001
EID of the result in the Scopus database
2-s2.0-105005591254