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Ample vector bundles and Bordiga surfaces

✍ Scribed by Antonio Lanteri; Hidetoshi Maeda

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 182 KB
Volume: 280
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410483

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✦ Synopsis

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 ample line bundle and assume that (Z, H ~Z~ ) is a Bordiga surface, i.e., a rational surface having (ℙ^2^, 𝕆 (4)) as its minimal adjunction theoretic reduction. Triplets (X, ℰ, H) as above are discussed and classified. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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