Zeta-Functions of Varieties Over Finite Fields at s=1

  • Stephen Lichtenbaum
Part of the Progress in Mathematics book series (PM, volume 35)


Let κ be a finite field of cardinality q = p . Let \(\overline \kappa \) be a fixed algebraic closure of κ. Let X be a smooth projective algebraic variety of dimension d over κ such that \(\overline X = X \times \overline \kappa \) is connected.


Abelian Group Exact Sequence Finite Group Spectral Sequence Finite Field 
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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • Stephen Lichtenbaum
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

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