A geometric application of Nori’s connectivity theorem
نویسنده
چکیده
Our main result in this paper concerns the problem of sweeping out general hypersurfaces of degree N ≥ d+ 2 in P : Theorem 1 Fix an integer 1 ≤ r ≤ d. Let γ = r−1 2 , r odd, or γ = r 2 , r even, that is γ is the round-up of r−1 2 . Let Y → S, dimS = C, be a family of r-dimensional smooth projective varieties. Then the general hypersurface of degree N in P is not rationally swept out by varieties parameterized by S if
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