Bounding Codimension-One Subvarieties and a General Inequality between Chern Numbers

We extend the Miyaoka-Yau inequality for a surface to an arbitrary nonuniruled normal complex projective variety, eliminating the hypothesis that the variety must be minimal. The inequality is sharp in dimension three and is also sharp among minimal varieties. For nonminimal varieties in dimension f...

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Veröffentlicht in:American journal of mathematics 1997-06, Vol.119 (3), p.487-502
Hauptverfasser: Lu, Steven Shin-Yi, Miyaoka, Yoichi
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Sprache:eng
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