Hypersurfaces and the Weil conjectures

Details Hypersurfaces and the Weil conjectures Hypersurfaces and the Weil conjectures

2009-12-10

arxiv.org/abs/0912.2073v3

International Mathematics Research Notices 2010

Mathematics

Algebraic Geometry

12 pages; a few trivial corrections

Scientific paper

10.1093/imrn/rnq098

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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