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Remarks on Some Compact Symplectic Solvmanifolds

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Abstract

We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients M = ΓG of a simply-connected solvable Lie group G by a lattice Γ, admitting a symplectic structure.

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Acknowledgements The first author would like to thank professor Hongyu Wang for stimulating discussions. We thank the referees for their time and comments.

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Correspondence to Qiang Tan.

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Supported by PRC grant NSFC (Grant No. 11701226) (Tan); Natural Science Foundation of Jiangsu Province (Grant No. BK20170519) (Tan); Project PRIN “Variet reali e complesse: geometria, topologia e analisi armonica” and by GNSAGA of INdAM (Tomassini)

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Tan, Q., Tomassini, A. Remarks on Some Compact Symplectic Solvmanifolds. Acta. Math. Sin.-English Ser. 39, 1874–1886 (2023). https://doi.org/10.1007/s10114-023-0416-7

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  • DOI: https://doi.org/10.1007/s10114-023-0416-7

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