The Hilbert-Polya strategy and height pairings

Details The Hilbert-Polya strategy and height pairings The Hilbert-Polya strategy and height pairings

2010-01-11

arxiv.org/abs/1001.1621v1

Mathematics

Number Theory

submitted to a conference proceedings

Scientific paper

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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