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 The Lefschetz condition on projectivizations of complex vector bundles Commun. Korean Math. Soc. 2014 Vol. 29, No. 4, 569-579 https://doi.org/10.4134/CKMS.2014.29.4.569Printed October 1, 2014 Hirokazu Nishinobu and Toshihiro Yamaguchi Kochi University, Kochi University Abstract : We consider a condition under which the projectivization $P(E^k)$ of a complex $k$-bundle $E^k\to M$ over an even-dimensional manifold $M$ can have the hard Lefschetz property, affected by \cite{LO}. It depends strongly on the rank $k$ of the bundle $E^k$. Our approach is purely algebraic by using rational Sullivan minimal models \cite{FHT}. We will give some examples. Keywords : projectivization, c-symplectic, the Lefschetz property, Sullivan model, formal, projective (n)-Lefschetz, projective non-Lefschetz MSC numbers : 55P62, 57R17 Downloads: Full-text PDF

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