The bochner-hartogs dichotomy for bounded geometry hyperbolic kähler manifolds

Terrence Napier; Mohan Ramachandran

doi:10.5802/aif.3011

The bochner-hartogs dichotomy for bounded geometry hyperbolic kähler manifolds

Terrence Napier
, Mohan Ramachandran

Mathematics

Lehigh University

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

2 Scopus citations

Abstract

The main result is that for a connected hyperbolic complete Kähler manifold with bounded geometry of order two and exactly one end, either the first compactly supported cohomology with values in the structure sheaf vanishes or the manifold admits a proper holomorphic mapping onto a Riemann surface.

Original language	English
Pages (from-to)	239-270
Number of pages	32
Journal	Annales de l'Institut Fourier
Volume	66
Issue number	1
DOIs	https://doi.org/10.5802/aif.3011
State	Published - 2016

Keywords

Green's function
Pluriharmonic

Access to Document

10.5802/aif.3011

Cite this

@article{69626bfa1709412fa31237b6d04fb8fe,

title = "The bochner-hartogs dichotomy for bounded geometry hyperbolic k{\"a}hler manifolds",

abstract = "The main result is that for a connected hyperbolic complete K{\"a}hler manifold with bounded geometry of order two and exactly one end, either the first compactly supported cohomology with values in the structure sheaf vanishes or the manifold admits a proper holomorphic mapping onto a Riemann surface.",

keywords = "Green's function, Pluriharmonic",

author = "Terrence Napier and Mohan Ramachandran",

note = "Publisher Copyright: {\textcopyright} Association des Annales de l'institut Fourier, 2016, Certains droits r{\'e}serv{\'e}s.",

year = "2016",

doi = "10.5802/aif.3011",

language = "English",

volume = "66",

pages = "239--270",

journal = "Annales de l'Institut Fourier",

issn = "0373-0956",

publisher = "Association des Annales de l'Institut Fourier",

number = "1",

}

TY - JOUR

T1 - The bochner-hartogs dichotomy for bounded geometry hyperbolic kähler manifolds

AU - Napier, Terrence

AU - Ramachandran, Mohan

N1 - Publisher Copyright: © Association des Annales de l'institut Fourier, 2016, Certains droits réservés.

PY - 2016

Y1 - 2016

N2 - The main result is that for a connected hyperbolic complete Kähler manifold with bounded geometry of order two and exactly one end, either the first compactly supported cohomology with values in the structure sheaf vanishes or the manifold admits a proper holomorphic mapping onto a Riemann surface.

AB - The main result is that for a connected hyperbolic complete Kähler manifold with bounded geometry of order two and exactly one end, either the first compactly supported cohomology with values in the structure sheaf vanishes or the manifold admits a proper holomorphic mapping onto a Riemann surface.

KW - Green's function

KW - Pluriharmonic

UR - https://www.scopus.com/pages/publications/84960930853

U2 - 10.5802/aif.3011

DO - 10.5802/aif.3011

M3 - Article

AN - SCOPUS:84960930853

SN - 0373-0956

VL - 66

SP - 239

EP - 270

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 1

ER -

The bochner-hartogs dichotomy for bounded geometry hyperbolic kähler manifolds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this