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On Higher Order Embeddings and n - Connectedness

✍ Scribed by M. C. Beltrametti; S. Di Rocco; A. Lanteri

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
765 KB
Volume
201
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Let L be a very ample line bundle on a smooth complex projective surface. The relations between the higher order embedding properties of L, like k ‐ spannedness, k ‐ very ampleness, k ‐ jet ampleness, and the higher numerical connectedness properties of divisors D Ξ΅ |L| are Investigated. Some applications to adjoint bundles as well as pluricanonical bundles are discussed.

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