Publikation:

A Hilbert-Mumford-Criterion for SL2-Actions

Lade...
Vorschaubild

Dateien

preprint_166.pdf
preprint_166.pdfGröße: 214.41 KBDownloads: 239

Datum

2002

Autor:innen

Hausen, Jürgen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Auflagebezeichnung

DOI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Preprint
Publikationsstatus
Published

Erschienen in

Zusammenfassung

Let the special linear group G := SL2 act regularly on a Q-factorial variety X. Consider a maximal torus T subset G and its normalizer N subset G. We prove: If U subset X is a maximal open N-invariant subset admitting a good quotient U -> U // N with a divisorial quotient space, then the intersection W(U) of all translates g U is open in X and admits a good quotient W(U) -> W(U) // G with a divisorial quotient space. Conversely, we obtain that every maximal open G-invariant subset W subset X admitting a good quotient W -> W // G with a divisorial quotient space is of the form W = W(U) for some maximal open N-invariant U as above.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
004 Informatik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690HAUSEN, Jürgen, 2002. A Hilbert-Mumford-Criterion for SL2-Actions
BibTex
@unpublished{Hausen2002Hilbe-6431,
  year={2002},
  title={A Hilbert-Mumford-Criterion for SL2-Actions},
  author={Hausen, Jürgen}
}
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/123456789/6431">
    <dcterms:title>A Hilbert-Mumford-Criterion for SL2-Actions</dcterms:title>
    <dc:language>eng</dc:language>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:12:41Z</dc:date>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:issued>2002</dcterms:issued>
    <dcterms:abstract xml:lang="eng">Let the special linear group G := SL2 act regularly on a Q-factorial variety X. Consider a maximal torus T subset G and its normalizer N subset G. We prove: If U subset X is a maximal open N-invariant subset admitting a good quotient U -&gt; U // N with a divisorial quotient space, then the intersection W(U) of all translates g U is open in X and admits a good quotient W(U) -&gt; W(U) // G with a divisorial quotient space. Conversely, we obtain that every maximal open G-invariant subset W subset X admitting a good quotient W -&gt; W // G with a divisorial quotient space is of the form W = W(U) for some maximal open N-invariant U as above.</dcterms:abstract>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6431"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Hausen, Jürgen</dc:creator>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6431/1/preprint_166.pdf"/>
    <dc:rights>Attribution-NonCommercial-NoDerivs 2.0 Generic</dc:rights>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:12:41Z</dcterms:available>
    <dc:format>application/pdf</dc:format>
    <dc:contributor>Hausen, Jürgen</dc:contributor>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by-nc-nd/2.0/"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6431/1/preprint_166.pdf"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
  </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
Begutachtet
Diese Publikation teilen