Universality lifting from a general base field
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508565" target="_blank" >RIV/00216208:11320/25:10508565 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Q1Eo2Il8YX" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Q1Eo2Il8YX</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/RMI/1565" target="_blank" >10.4171/RMI/1565</a>
Alternative languages
Result language
angličtina
Original language name
Universality lifting from a general base field
Original language description
Given a totally real number field F, we show that there are only finitely many totally real extensions of K of a fixed degree that admit a universal quadratic form defined over F. We further obtain several explicit classification results in the case of relative quadratic extensions.
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
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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
Revista Matematica Iberoamericana
ISSN
0213-2230
e-ISSN
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Volume of the periodical
41
Issue of the periodical within the volume
6
Country of publishing house
ES - SPAIN
Number of pages
22
Pages from-to
2379-2400
UT code for WoS article
001578643000002
EID of the result in the Scopus database
2-s2.0-105023894618