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Ample Vector Bundles of Curve Genus One

Published online by Cambridge University Press:  20 November 2018

Antonio Lanteri  and
Hidetoshi Maeda
Antonio Lanteri
Affiliation:
Dipartimento di Matematica “F. Enriques” Università Via C. Saldini, 50 I-20133 Milano Italy, email: lanteri@vmimat.mat.unimi.it
Hidetoshi Maeda
Affiliation:
Department of Mathematical Sciences School of Science and Engineering Waseda University 3-4-1 Ohkubo, Shinjuku Tokyo 169-8555 Japan, email: hmaeda@mse.waseda.ac.jp
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Abstract

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We investigate the pairs $(X,\,\varepsilon )$ consisting of a smooth complex projective variety $X$ of dimension $n$ and an ample vector bundle $\varepsilon $ of rank $n\,-\,1$ on $X$ such that $\varepsilon $ has a section whose zero locus is a smooth elliptic curve.

Keywords

14J6014F0514J40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 2 , 01 June 1999 , pp. 209 - 213
Copyright
Copyright © Canadian Mathematical Society 1999

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