The Hilbert-Polya strategy and height pairings
classification
🧮 math.NT
math.AG
keywords
cohomologicalheightpairingsargumentconjecturalconjecturedcyclesformalism
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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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