Hypersurfaces and the Weil conjectures
Algebraic Geometry
2010-06-01 v3 Number Theory
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.
Cite
@article{arxiv.0912.2073,
title = {Hypersurfaces and the Weil conjectures},
author = {A. J. Scholl},
journal= {arXiv preprint arXiv:0912.2073},
year = {2010}
}
Comments
12 pages; a few trivial corrections