Ample vector bundles with zero loci having a bielliptic curve section of low degree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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Ample vector bundles with zero loci having a bielliptic curve section of low degree

Authors:	Antonio Lanteri Hidetoshi Maeda

Institution:	(1) Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via C. Saldini, 50, I-20133 Milano, Italy;(2) Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan

Abstract:	Let ${\mathcal{E}}$ be an ample vector bundle of rank r ≥ 2 on a smooth complex projective variety X of dimension n such that there exists a global section of ${\mathcal{E}}$ whose zero locus Z is a smooth subvariety of dimension n − r ≥ 3 of X. Let H be an ample line bundle on X such that its restriction H _Z to Z is very ample. Triplets $(X,{\mathcal{E}},H)$ are classified under the assumption that (Z,H _Z) has a smooth bielliptic curve section of genus ≥ 3 with $H^{n-r}c_r({\mathcal{E}}) \leq 8$ .

Keywords:	Ample vector bundle Bielliptic curve Fano manifold
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