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  • Proper holomorphic maps in Euclidean spaces avoiding unbounded convex sets
    Drinovec-Drnovšek, Barbara ; Forstnerič, Franc, 1958-
    Če je ▫$E$▫ zaprta konveksna množica v ▫$\mathbb C^n$▫, ▫$n>1$▫, vsebovana v zaprtem polprostoru ▫$H$▫, tako da je ▫$E\cap bH$▫ neprazna omejena množica, potem konkavna domena ▫$\Omega=\mathbb ... C^n\setminus E$▫ vsebuje slike pravih holomorfnih preslikav ▫$f : X \to \mathbb C^n$▫ poljubne Steinove mnogoterosti ▫$X$▫ dimenzije ▫$< n$▫, z aproksimacijo dane preslikave na kompaktnih podmnožicah v ▫$X$▫. Če je poleg tega ▫$2 {\rm dim} X+1 \le n$▫, potem obstaja holomorfna vložitev s temi lastnostmi, v primeru ▫$2 {\rm dim} X = n$▫ pa holomorfna imerzija.
    Source: The Journal of geometric analysis. - ISSN 1050-6926 (Vol. 33, iss. 6, June 2023, art. 170 (22 str.))
    Type of material - article, component part ; adult, serious
    Publish date - 2023
    Language - english
    COBISS.SI-ID - 147026947

    Link(s):

    https://link.springer.com/article/10.1007/s12220-023-01222-z
    DiRROS - Digital repository of Slovenian research organizations
    Repository of the University of Ljubljana – RUL
    DOI

source: The Journal of geometric analysis. - ISSN 1050-6926 (Vol. 33, iss. 6, June 2023, art. 170 (22 str.))
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