• Title/Summary/Keyword: projective non-Lefschetz

Search Result 1, Processing Time 0.015 seconds

THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES

  • Nishinobu, Hirokazu;Yamaguchi, Toshihiro
    • Communications of the Korean Mathematical Society
    • /
    • v.29 no.4
    • /
    • pp.569-579
    • /
    • 2014
  • 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.