Hypersurfaces and the Weil conjectures
arXiv:0912.2073 · doi:10.1093/imrn/rnq098
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.
12 pages; a few trivial corrections