The Hilbert-Polya strategy and height pairings

C. Deninger

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arXiv · 1001.1621

The Hilbert-Polya strategy and height pairings

C. Deninger

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Abstract

Previously we gave a conjectural cohomological argument for the validity of the Riemann hypotheses for Hasse-Weil zeta functions. In the present note we sketch how the same cohomological formalism would imply the conjectured positivity properties of the height pairings of homologically trivial cycles.

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C. Deninger. 2010-01-11. The Hilbert-Polya strategy and height pairings. https://arxiv.org/abs/1001.1621

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