On the adjunction mapping of very ample vector bundles of corank one期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Antonio Lanteri Marino Palleschi Andrew J Sommese

Institution:	Dipartimento di Matematica ``F. Enriques', Università, Via C. Saldini 50, I-20133 Milano, Italy ; Dipartimento di Matematica ``F. Enriques', Università, Via C. Saldini 50, I-20133 Milano, Italy ; Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556-4618

Abstract:	Let $\mathcal{E}$ be a very ample vector bundle of rank over a smooth complex projective variety 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 $0 < \kappa (K_{X} + \det \mathcal{E}) < n$ .

Keywords:	Vector bundle (very ample) adjunction mapping

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