Locally Conformally Symplectic Structures on Compact Non-Kähler Complex Surfaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Jul 2015Embargo end date: 01 Jan 2015 France English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,016, pages 2,717-2,747 (issn: 1073-7928, eissn: 1687-0247,

Copyright policy )Funded by:NSERC | unidentified, ANR | MNGNK

Authors: Apostolov, Vestislav; Dloussky, Georges;

doi: 10.1093/imrn/rnv211 , 10.48550/arxiv.1501.02687

arXiv: 1501.02687

Locally Conformally Symplectic Structures on Compact Non-Kähler Complex Surfaces

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Abstract

We prove that every compact complex surface with odd first Betti number admits a locally conformally symplectic $2$-form which tames the underlying almost complex structure.

typos and a sign error in Convention 2.1 corrected

Country

France

Related Organizations

French National Centre for Scientific Research
France
University of Montreal
Canada
Aix Marseille Université
France
Université du Québec à Montréal
Canada
Inter-University Accelerator Centre
India

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Keywords

Mathematics - Differential Geometry, complex surfaces, Differential Geometry (math.DG), [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]

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