Northcott property and universality of higher degree forms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508579" target="_blank" >RIV/00216208:11320/25:10508579 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zpSJy-0Q0K" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=zpSJy-0Q0K</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1793042125500344" target="_blank" >10.1142/S1793042125500344</a>

Result language
angličtina
Original language name
Northcott property and universality of higher degree forms
Original language description
Let K be a totally real number field,d a positive integer, and Q a higher degree form over K. We prove that there are at most finitely many totally real extensions L/K of degree d such that Q over L is universal. Further, we show that there are no universal forms over totally real infinite extensions of Q having the Northcott property.
Czech name
—
Czech description
—

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

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)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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