TY - JOUR
T1 - On manifolds swept out by high dimensional hypersurfaces
AU - Suzuki, Taku
PY - 2015/12/1
Y1 - 2015/12/1
N2 - In this paper, we prove that, if an embedded smooth projective manifold is swept out by high dimensional hypersurfaces of degree d, then either it is a scroll, or it admits an extremal contraction whose general fibers are hypersurfaces of degree d, under the assumption of Hartshorne's famous conjecture on complete intersections.
AB - In this paper, we prove that, if an embedded smooth projective manifold is swept out by high dimensional hypersurfaces of degree d, then either it is a scroll, or it admits an extremal contraction whose general fibers are hypersurfaces of degree d, under the assumption of Hartshorne's famous conjecture on complete intersections.
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U2 - 10.1016/j.jpaa.2015.05.021
DO - 10.1016/j.jpaa.2015.05.021
M3 - Article
AN - SCOPUS:84940452329
VL - 219
SP - 5394
EP - 5401
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 12
ER -