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On the adjunction mapping of very ample vector bundles of corank one

Author(s): Antonio Lanteri; Marino Palleschi; Andrew J. Sommese
Journal: Trans. Amer. Math. Soc. 356 (2004), 2307-2324.
MSC (2000): Primary 14F05, 14N30, 14C20; Secondary 14J40
Posted: October 6, 2003
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Abstract: Let $\mathcal{E}$ be a very ample vector bundle of rank $n-1$ over a smooth complex projective variety $X$ of dimension $n\geq 3$. The structure of $(X,\mathcal{E})$ being known when $\kappa (K_{X} + \det \mathcal{E}) \leq 0$, we investigate the structure of the adjunction mapping when $0 < \kappa (K_{X} + \det \mathcal{E}) < n$.

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Additional Information:

Antonio Lanteri
Affiliation: Dipartimento di Matematica ``F. Enriques'', Università, Via C. Saldini 50, I-20133 Milano, Italy
Email: lanteri@mat.unimi.it

Marino Palleschi
Affiliation: Dipartimento di Matematica ``F. Enriques'', Università, Via C. Saldini 50, I-20133 Milano, Italy
Email: palleschi@mat.unimi.it

Andrew J. Sommese
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556-4618
Email: sommese@nd.edu

DOI: 10.1090/S0002-9947-03-03278-1
PII: S 0002-9947(03)03278-1
Keywords: Vector bundle (very ample), adjunction mapping
Received by editor(s): July 10, 2001
Received by editor(s) in revised form: October 22, 2002
Posted: October 6, 2003
Dedicated: To the memory of Meeyoung Kim
Copyright of article: Copyright 2003, American Mathematical Society

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