Chapter

Algorithmic Number Theory

Volume 3076 of the series Lecture Notes in Computer Science pp 1-17

Computing Zeta Functions via p-Adic Cohomology

  • Kiran S. KedlayaAffiliated withLancaster UniversityDepartment of Mathematics, Massachusetts Institute of Technology

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Abstract

We survey some recent applications of p-adic cohomology to machine computation of zeta functions of algebraic varieties over finite fields of small characteristic, and suggest some new avenues for further exploration.