Twistors, Kähler manifolds, and bimeromorphic geometry. I

Claude Lebrun

doi:10.1090/S0894-0347-1992-1137098-5

Twistors, Kähler manifolds, and bimeromorphic geometry. I

Claude Lebrun

Mathematics

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

32 Scopus citations

Abstract

By considering deformations of the Moishezon twistor spaces of ℂℙ₂# … #ℂℙ₂ constructed in [20], we show that the blow up of ℂ² at n points in general position admits an asymptotically flat scalar-flat Kähler metric in each Kähler class, at least provided that the given points are nearly collinear.

Original language	English
Pages (from-to)	289-316
Number of pages	28
Journal	Journal of the American Mathematical Society
Volume	5
Issue number	2
DOIs	https://doi.org/10.1090/S0894-0347-1992-1137098-5
State	Published - Apr 1992

Access to Document

10.1090/S0894-0347-1992-1137098-5

Cite this

@article{4850198439fa4ad098c04e937ebe421d,

title = "Twistors, K{\"a}hler manifolds, and bimeromorphic geometry. I",

abstract = "By considering deformations of the Moishezon twistor spaces of ℂℙ2\# … \#ℂℙ2 constructed in [20], we show that the blow up of ℂ2 at n points in general position admits an asymptotically flat scalar-flat K{\"a}hler metric in each K{\"a}hler class, at least provided that the given points are nearly collinear.",

author = "Claude Lebrun",

year = "1992",

month = apr,

doi = "10.1090/S0894-0347-1992-1137098-5",

language = "English",

volume = "5",

pages = "289--316",

journal = "Journal of the American Mathematical Society",

issn = "0894-0347",

number = "2",

}

TY - JOUR

T1 - Twistors, Kähler manifolds, and bimeromorphic geometry. I

AU - Lebrun, Claude

PY - 1992/4

Y1 - 1992/4

N2 - By considering deformations of the Moishezon twistor spaces of ℂℙ2# … #ℂℙ2 constructed in [20], we show that the blow up of ℂ2 at n points in general position admits an asymptotically flat scalar-flat Kähler metric in each Kähler class, at least provided that the given points are nearly collinear.

AB - By considering deformations of the Moishezon twistor spaces of ℂℙ2# … #ℂℙ2 constructed in [20], we show that the blow up of ℂ2 at n points in general position admits an asymptotically flat scalar-flat Kähler metric in each Kähler class, at least provided that the given points are nearly collinear.

UR - https://www.scopus.com/pages/publications/84968484142

U2 - 10.1090/S0894-0347-1992-1137098-5

DO - 10.1090/S0894-0347-1992-1137098-5

M3 - Article

AN - SCOPUS:84968484142

SN - 0894-0347

VL - 5

SP - 289

EP - 316

JO - Journal of the American Mathematical Society

JF - Journal of the American Mathematical Society

IS - 2

ER -

Twistors, Kähler manifolds, and bimeromorphic geometry. I

Abstract

Access to Document

Other files and links

Fingerprint

Cite this