[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.4.569

THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES

Nishinobu, Hirokazu (Kochi University)
Yamaguchi, Toshihiro (Kochi University)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.4, 2014 , pp. 569-579 More about this Journal

Abstract

We consider a condition under which the projectivization $P(E^k)$ of a complex k-bundle $E^k{\rightarrow}M$ over an even-dimensional manifold M can have the hard Lefschetz property, affected by [10]. It depends strongly on the rank k of the bundle $E^k$ . Our approach is purely algebraic by using rational Sullivan minimal models [5]. We will give some examples.

Keywords

projectivization; c-symplectic; the Lefschetz property; Sullivan model; formal; projective (n)-Lefschetz; projective non-Lefschetz;

Citations & Related Records

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