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We compute the rational zero-divisor cup-length of the oriented partial flag manifoldF  ˜    (    n  1   ,  …  ,   n  k    )\[\widetilde{F}\left( {{n}_{1}},\ldots,{{n}_{k}} \right)\]    of type ( n  1 ,…,  n k  ),  k  ≥ 2. For certain classes of oriented partial flag manifolds, we compare the rational zero-divisor cup-length and theℤ  2\[{{\mathbb{Z}}_{2}}\]   -zero-divisor cup-length.

The Rational Zero-Divisor Cup-Length of Oriented Partial Flag Manifolds