@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              In this paper, we study the action on C^n of any group G of holomorphic diffeomorphisms (automorphisms) of C^n fixing 0. Suppose that there is x in C^n, having an orbit which generates C^n and also E(x)=C^n, where E(x) is the vector space generated by L_{G}={D_{0}fx, f in G }. We give an important condition so that an orbit G(x) is isomorphic (by linear map) to the orbit L_{G}(x)of the linear group L_{G}. More if G is abelian, we prove the existence of a G-invariant open set U, dense in C^n, in which every orbit O is relatively minimal (i.e. the closure of O in U is a closed non empty, G-invariant set and has no proper subset with these properties). Moreover, if G has a dense orbit in C^n then every orbit of U is dense in C^n.
            """ ;
    dct:identifier "hal-00721215" ;
    dct:issued "2026-05-08T04:21:25.612072"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-08T04:21:25.612076"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On the dynamic of holomorphic diffeomorphisms groups fixing a commune point, on C^n" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00721215v6/resource/bebead8b-ec36-4479-8cec-f8e7e564066c> ;
    dcat:keyword "37c85-47a16-37e30-37c25",
        "abelian",
        "action",
        "diffeomorphisms",
        "group",
        "infoeu-reposemanticspreprint",
        "mathmath-dsmathematics-mathdynamical-systems-mathds",
        "orbit",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00721215> .

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    dct:format "HTML" ;
    dct:issued "2026-05-08T04:21:25.613642"^^xsd:dateTime ;
    dct:modified "2026-05-08T04:21:25.600187"^^xsd:dateTime ;
    dct:title "On the dynamic of holomorphic diffeomorphisms groups fixing a commune point, on C^n" ;
    dcat:accessURL <https://hal.science/hal-00721215> .

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    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00721215> a foaf:Document .