A note on Riemann hypothesis for curves and hypersurfaces over finite fields

Nicholas M. Katz

doi:10.1093/imrn/rnu007

A note on Riemann hypothesis for curves and hypersurfaces over finite fields

Nicholas M. Katz

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give what is arguably a simple (though certainly not elementary, cf. [12]) proof of the Riemann Hypothesis for (projective, smooth, geometrically connected) curves and hypersurfaces over finite fields, by an argument which reduces us to checking a few examples.

Original language	English (US)
Pages (from-to)	2328-2341
Number of pages	14
Journal	International Mathematics Research Notices
Volume	2015
Issue number	9
DOIs	https://doi.org/10.1093/imrn/rnu007
State	Published - Jan 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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A note on Riemann hypothesis for curves and hypersurfaces over finite fields

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