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Published May 15, 2015 | Submitted
Journal Article Open

Weak approximation for cubic hypersurfaces

Tian, Zhiyu

Abstract

We prove weak approximation for smooth cubic hypersurfaces of dimension at least 2 defined over the function field of a complex curve.

Additional Information

© 2015 Duke University Press. Received 22 May 2013. Revision received 27 July 2014. I would like to thank Tom Graber for many helpful discussions and for saving me from making many false statements; Chenyang Xu and Runpu Zong for their interest in the project; Letao Zhang for her help with the preparation of the manuscript; and the referees for so many helpful suggestions that have greatly improved the paper, both in its content and in its way of presentation.

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