Effective actions of SUn on complex n-dimensional manifolds

A. V. Isaev; N. G. Kruzhilin

doi:10.1215/ijm/1258136172

Effective actions of SU_n on complex n-dimensional manifolds

A. V. Isaev^*, N. G. Kruzhilin

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

For n ≥ 2 we classify all connected n-dimensional complex manifolds admitting effective actions of the special unitary group SU_n by biholomorphic transformations.

Original language	English
Pages (from-to)	37-57
Number of pages	21
Journal	Illinois Journal of Mathematics
Volume	48
Issue number	1
DOIs	https://doi.org/10.1215/ijm/1258136172
Publication status	Published - 2004

Access to Document

10.1215/ijm/1258136172

Cite this

@article{539dda024f8640e3a4ee3d029d9dd91c,

title = "Effective actions of SUn on complex n-dimensional manifolds",

abstract = "For n ≥ 2 we classify all connected n-dimensional complex manifolds admitting effective actions of the special unitary group SUn by biholomorphic transformations.",

author = "Isaev, {A. V.} and Kruzhilin, {N. G.}",

year = "2004",

doi = "10.1215/ijm/1258136172",

language = "English",

volume = "48",

pages = "37--57",

journal = "Illinois Journal of Mathematics",

issn = "0019-2082",

publisher = "Duke University Press",

number = "1",

}

TY - JOUR

T1 - Effective actions of SUn on complex n-dimensional manifolds

AU - Isaev, A. V.

AU - Kruzhilin, N. G.

PY - 2004

Y1 - 2004

N2 - For n ≥ 2 we classify all connected n-dimensional complex manifolds admitting effective actions of the special unitary group SUn by biholomorphic transformations.

AB - For n ≥ 2 we classify all connected n-dimensional complex manifolds admitting effective actions of the special unitary group SUn by biholomorphic transformations.

UR - http://www.scopus.com/inward/record.url?scp=3042773735&partnerID=8YFLogxK

U2 - 10.1215/ijm/1258136172

DO - 10.1215/ijm/1258136172

M3 - Article

SN - 0019-2082

VL - 48

SP - 37

EP - 57

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

IS - 1

ER -

Effective actions of SU_n on complex n-dimensional manifolds

Abstract

Access to Document

Other files and links

Fingerprint

Cite this