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arXiv · 0912.2073

Hypersurfaces and the Weil conjectures

A. J. Scholl
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Abstract

We give a proof that the Riemann hypothesis for hypersurfaces over finite fields implies the result for all smooth proper varieties, by a deformation argument which does not use the theory of Lefschetz pencils or the l-adic Fourier transform.

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A. J. Scholl. 2010-05-29. Hypersurfaces and the Weil conjectures. https://doi.org/10.1093/imrn%2Frnq098

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