The Hilbert-Polya strategy and height pairings
Number Theory
2010-01-12 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1001.1621,
title = {The Hilbert-Polya strategy and height pairings},
author = {C. Deninger},
journal= {arXiv preprint arXiv:1001.1621},
year = {2010}
}
Comments
submitted to a conference proceedings