THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES

Title & Authors
THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES
Nishinobu, Hirokazu; Yamaguchi, Toshihiro;

Abstract
We consider a condition under which the projectivization $\small{P(E^k)}$ of a complex k-bundle $\small{E^k{\rightarrow}M}$ 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 $\small{E^k}$. 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;
Language
English
Cited by
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