The order of the Hopf bundle on projective Stiefel manifolds
It is shown that the proof by Mehta and Parameswaran of Wahl’s conjecture for Grassmannians in positive odd characteristics also works for symplectic and orthogonal Grassmannians.
Let be a holomorphic line bundle over a compact complex manifold for . Let denote the associated principal circle-bundle with respect to some hermitian inner product on . We construct complex structures on which we refer to as
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