Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 5394-5401 |
| Number of pages | 8 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 219 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2015 Dec 1 |
ASJC Scopus subject areas
- Algebra and Number Theory
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Cite this
Suzuki, T. (2015). On manifolds swept out by high dimensional hypersurfaces. Journal of Pure and Applied Algebra, 219(12), 5394-5401. https://doi.org/10.1016/j.jpaa.2015.05.021