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A Noether-Lefschetz theorem for varieties of r-planes in complete intersections

Published online by Cambridge University Press:  11 January 2016

Zhi Jiang
Zhi Jiang*
Affiliation:
Mathématiques Bâtiment 425 Université Paris-Sud, F-91405 Orsay, France, zhi.jiang@math.u-psud.fr
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Abstract

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We prove a Noether-Lefschetz type theorem for varieties of r-planes in complete intersections. We then use it to study the Abel-Jacobi map of planes on a smooth cubic fivefold.

Keywords

14C2214D0714D05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 206 , June 2012 , pp. 39 - 66
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

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