Subfields of ample fields : rational maps and definability

Vorschaubild nicht verfügbar
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2010
Autor:innen
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
eISSN
item.preview.dc.identifier.isbn
Bibliografische Daten
Verlag
Schriftenreihe
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
EU-Projektnummer
Projekt
Open Access-Veröffentlichung
Gesperrt bis
Titel in einer weiteren Sprache
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Erschienen in
Journal of Algebra ; 323 (2010), 6. - S. 1738-1744. - ISSN 0021-8693
Zusammenfassung
Pop proved that a smooth curve C over an ample field K with C(K)≠empty set has |K| many rational points. We strengthen this result by showing that there are |K| many rational points that do not lie in a given proper subfield, even after applying a rational map. This has several consequences. For example, we gain insight into the structure of existentially definable (i.e. diophantine) subsets of ample fields.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Ample field,Rational point,Algebraic curve,Definability
Konferenz
Rezension
undefined / . - undefined, undefined. - (undefined; undefined)
Zitieren
ISO 690FEHM, Arno, 2010. Subfields of ample fields : rational maps and definability. In: Journal of Algebra. 323(6), pp. 1738-1744. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2009.11.037
BibTex
@article{Fehm2010Subfi-12745,
  year={2010},
  doi={10.1016/j.jalgebra.2009.11.037},
  title={Subfields of ample fields : rational maps and definability},
  number={6},
  volume={323},
  issn={0021-8693},
  journal={Journal of Algebra},
  pages={1738--1744},
  author={Fehm, Arno}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/12745">
    <dcterms:title>Subfields of ample fields : rational maps and definability</dcterms:title>
    <dcterms:abstract xml:lang="eng">Pop proved that a smooth curve C over an ample field K with C(K)≠empty set has |K| many rational points. We strengthen this result by showing that there are |K| many rational points that do not lie in a given proper subfield, even after applying a rational map. This has several consequences. For example, we gain insight into the structure of existentially definable (i.e. diophantine) subsets of ample fields.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Fehm, Arno</dc:creator>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/12745"/>
    <dcterms:bibliographicCitation>Publ. in: Journal of Algebra 323 (2010), 6, pp. 1738-1744</dcterms:bibliographicCitation>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-15T08:31:52Z</dc:date>
    <dc:contributor>Fehm, Arno</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-15T08:31:52Z</dcterms:available>
    <dcterms:issued>2010</dcterms:issued>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
  </rdf:Description>
</rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Kontakt
URL der Originalveröffentl.
Prüfdatum der URL
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet