VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Invariance of the parametric Oka property
    Forstnerič, Franc, 1958-
    Assume that ▫$E$▫ and ▫$B$▫ are complex manifolds and that ▫$\pi \colon E \to B$▫ is a holomorphic Serre fibration such that ▫$E$▫ admits a finite dominating family of holomorphic fiber-sprays over a ... small neighborhood of any point in ▫$B$▫. We show that the parametric Oka property (POP) of ▫$B$▫ implies POP of ▫$E$▫; conversely, POP of ▫$E$▫ implies POP of ▫$B$▫ for contractible parameter spaces. This follows from a parametric Oka principle for holomorphic liftings which we establish in the paper.
    Vir: Complex analysis : several complex variables and connections with PDE theory and geometry (Str. 125-144)
    Vrsta gradiva - prispevek na konferenci
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 15595865

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