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The Lefschetz condition on projectivizations of complex vector bundles

Hirokazu Nishinobu|Toshihiro Yamaguchi
대한수학회 (The Korean Mathematical Society)|2014.10|대한수학회논문집 (Communications of the KMS)|제29권 제4호|pp. 569-579

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참고문헌

키워드

formalSullivan modelprojectivizationc-symplecticthe Lefschetz propertyprojective (n)-Lefschetzprojective non-Lefschetz
주제분류수학

초록

We consider a condition under which the projectivization P(Ek) of a complex k-bundle Ek → 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 Ek. Our approach is purely algebraic by using rational Sullivan minimal models [5]. We will give some examples.

Abstract

We consider a condition under which the projectivization P(Ek) of a complex k-bundle Ek → 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 Ek. Our approach is purely algebraic by using rational Sullivan minimal models [5]. We will give some examples.

참고문헌 (18)

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