Publikation: Kuykian fields
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2012
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Forum Mathematicum. 2012, 24(5). ISSN 0933-7741. eISSN 1435-5337. Available under: doi: 10.1515/form.2011.094
Zusammenfassung
The Kuykian conjecture for a Hilbertian field K says that if is an abelian variety, then every intermediate field of is Hilbertian. We prove the Kuykian conjecture in the following cases: (a) K is finitely generated (over its prime field). (b) for almost all , where F is a finitely generated field. (c), where F is the quotient field of a complete local domain of dimension at least 2.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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Hilbertian fields, abelian varieties, torsion points
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FEHM, Arno, Moshe JARDEN, Sebastian PETERSEN, 2012. Kuykian fields. In: Forum Mathematicum. 2012, 24(5). ISSN 0933-7741. eISSN 1435-5337. Available under: doi: 10.1515/form.2011.094BibTex
@article{Fehm2012Kuyki-23249,
year={2012},
doi={10.1515/form.2011.094},
title={Kuykian fields},
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journal={Forum Mathematicum},
author={Fehm, Arno and Jarden, Moshe and Petersen, Sebastian}
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<dcterms:abstract xml:lang="eng">The Kuykian conjecture for a Hilbertian field K says that if is an abelian variety, then every intermediate field of is Hilbertian. We prove the Kuykian conjecture in the following cases: (a) K is finitely generated (over its prime field). (b) for almost all , where F is a finitely generated field. (c), where F is the quotient field of a complete local domain of dimension at least 2.</dcterms:abstract>
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