Homogeneous kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

Alexander Isaev

doi:10.4310/AJM.2019.v23.n4.a3

Homogeneous kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

Alexander Isaev^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n ≥ 2 whose holomorphic automorphism group has dimension n²-2. This result complements an existing classification for automorphism group dimension n²-1 and greater obtained without the homogeneity assumption.

Original language	English
Pages (from-to)	585-608
Number of pages	24
Journal	Asian Journal of Mathematics
Volume	23
Issue number	4
DOIs	https://doi.org/10.4310/AJM.2019.v23.n4.a3
Publication status	Published - 2019

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title = "Homogeneous kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms",

abstract = "We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n ≥ 2 whose holomorphic automorphism group has dimension n2-2. This result complements an existing classification for automorphism group dimension n2-1 and greater obtained without the homogeneity assumption.",

keywords = "Homogeneous complex manifolds, Kobayashi-hyperbolic manifolds, The group of holomorphic automorphisms",

author = "Alexander Isaev",

note = "Publisher Copyright: {\textcopyright} 2019 International Press.",

year = "2019",

doi = "10.4310/AJM.2019.v23.n4.a3",

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AB - We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n ≥ 2 whose holomorphic automorphism group has dimension n2-2. This result complements an existing classification for automorphism group dimension n2-1 and greater obtained without the homogeneity assumption.

KW - Homogeneous complex manifolds

KW - Kobayashi-hyperbolic manifolds

KW - The group of holomorphic automorphisms

UR - https://www.scopus.com/pages/publications/85078959695

U2 - 10.4310/AJM.2019.v23.n4.a3

DO - 10.4310/AJM.2019.v23.n4.a3

M3 - Article

SN - 1093-6106

VL - 23

SP - 585

EP - 608

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 4

ER -

Homogeneous kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

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