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Ample vector bundles, Chern classes, and numerical criteria

✍ Scribed by William Fulton

Publisher: Springer-Verlag
Year: 1976
Tongue: English
Weight: 434 KB
Volume: 32
Category: Article
ISSN: 0020-9910
DOI: 10.1007/bf01389960

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## Abstract Let __X__ be a smooth complex projective variety and let __Z__ ⊂ __X__ be a smooth surface, which is the zero locus of a section of an ample vector bundle ℰ of rank dim__X__ – 2 ≥ 2 on __X__. Let __H__ be an ample line bundle on __X__, whose restriction __H__ ~__Z__~ to __Z__ is a very