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ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD

Part of: Discontinuous groups and automorphic forms Cycles and subschemes

Published online by Cambridge University Press:  12 September 2013

BURT TOTARO
BURT TOTARO*
Affiliation:
DPMMS, Wilberforce Road, Cambridge CB3 0WB, England UCLA Department of Mathematics, Box 951555, Los Angeles, CA 90095-1555, USAtotaro@math.ucla.edu

Abstract

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Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex numbers can be made to work over a number field.

MSC classification

Secondary: 14C30: Transcendental methods, Hodge theory , Hodge conjecture 11F80: Galois representations
Type
Research Article
Information
Forum of Mathematics, Sigma , Volume 1 , 2013 , e4
Creative Commons
Creative Common License - CCCreative Common License - BY
The online version of this article is published within an Open Access environment subject to the conditions of the Creative Commons Attribution licence .
Copyright
© The Author(s) 2013.

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