Twistors, Kähler manifolds, and bimeromorphic geometry. II

Claude Lebrun; Yat Sun Poon

doi:10.1090/S0894-0347-1992-1137099-7

Twistors, Kähler manifolds, and bimeromorphic geometry. II

Claude Lebrun
, Yat Sun Poon

Mathematics

Rice University
University of California at Riverside

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

33 Scopus citations

Abstract

Using examples [13] of compact complex 3-manifolds that arise as twistor spaces, we show that the class of compact complex manifolds bimeromorphic to Kähler manifolds is not stable under small deformations of complex structure.

Original language	English
Pages (from-to)	317-325
Number of pages	9
Journal	Journal of the American Mathematical Society
Volume	5
Issue number	2
DOIs	https://doi.org/10.1090/S0894-0347-1992-1137099-7
State	Published - Apr 1992

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

abstract = "Using examples [13] of compact complex 3-manifolds that arise as twistor spaces, we show that the class of compact complex manifolds bimeromorphic to K{\"a}hler manifolds is not stable under small deformations of complex structure.",

author = "Claude Lebrun and Poon, \{Yat Sun\}",

year = "1992",

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AU - Lebrun, Claude

AU - Poon, Yat Sun

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N2 - Using examples [13] of compact complex 3-manifolds that arise as twistor spaces, we show that the class of compact complex manifolds bimeromorphic to Kähler manifolds is not stable under small deformations of complex structure.

AB - Using examples [13] of compact complex 3-manifolds that arise as twistor spaces, we show that the class of compact complex manifolds bimeromorphic to Kähler manifolds is not stable under small deformations of complex structure.

UR - https://www.scopus.com/pages/publications/84968468532

U2 - 10.1090/S0894-0347-1992-1137099-7

DO - 10.1090/S0894-0347-1992-1137099-7

M3 - Article

AN - SCOPUS:84968468532

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VL - 5

SP - 317

EP - 325

JO - Journal of the American Mathematical Society

JF - Journal of the American Mathematical Society

IS - 2

ER -

Twistors, Kähler manifolds, and bimeromorphic geometry. II

Abstract

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