Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants
In this paper we further develop a Grassmannian technique used to prove results about very general hypersurfaces and present three applications. First, we provide a short proof of the Kobayashi conjecture given previously established results on the Green–Griffiths–Lang conjecture. Second, we completely resolve a conjecture of Chen, Lewis, and Sheng on the dimension of the space of Chow-equivalent points on a very general hypersurface, proving the remaining cases and providing a short, alternate proof for many of the previously known cases. Finally, we relate Seshadri constants of very general points to Seshadri constants of arbitrary points of very general hypersurfaces.
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1988 ◽
Vol 19
(2)
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pp. 171-171
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2006 ◽
Vol 119
(1)
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pp. 31-32
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1996 ◽
Vol 22
(1)
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pp. 83-87