Function theoretic properties of symmetric powers of complex manifolds

DOI10.1007/s12220-019-00233-zzbMath1436.32030arXiv1804.09600OpenAlexW2798814217WikidataQ127522773 ScholiaQ127522773MaRDI QIDQ1985307

Włodzimierz Zwonek

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09600

zbMATH Keywords

peak functionssymmetrized polydisc(quasi) \(c\)-finite compactnessKobayashi and Carathéodory hyperbolicity (completeness)symmetric power of complex manifolds

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Complex spaces (32C15) Peak functions (32T40)

Related Items (3)

Schwarz lemmas via the pluricomplex Green's function ⋮ Certain non-homogeneous matricial domains and Pick–Nevanlinna interpolation problem ⋮ On a spectral version of Cartan's theorem

Cites Work

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• Function theory and holomorphic maps on symmetric products of planar domains
• Proper holomorphic self-maps of symmetric powers of balls
• Geometry of the symmetrized polydisc
• Gromov hyperbolicity of the Kobayashi metric on \(\mathbb{C}\)-convex domains
• Proper holomorphic mappings onto symmetric products of a Riemann surface
• The hyperbolic geometry of the symmetrized bidisc
• Proper holomorphic mappings vs. peak points and Shilov boundary
• An example of a bounded $\mathsf C$-convex domain which is not biholomorphic to a convex domain
• La métrique de Kobayashi et la représentation des domaines sur la boule
• The Hyperbolicity of the Complement of 2n + 1 Hyperplanes in General Position in P n , and Related Results
• THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
• Carathéodory completeness on the plane
• The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
• Hyperbolic Submanifolds of Complex Projective Space
• Invariant distances and metrics in complex analysis

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