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The weil conjectures in finite geometry

Invited Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 1036)

Abstract

In the first section the Weil conjectures for non-singular primals are stated and several examples are given. Particularities for curves are described in section two. The remaining sections are devoted to elliptic cubic curves. In particular, the number of points that a cubic can have is precisely given, as well as the number of inequivalent curves with a fixed number of points.

Keywords

  • Zeta Function
  • Finite Field
  • Elliptic Curf
  • Isomorphism Class
  • Double Point

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1983 Springer-Verlag

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Hirschfeld, J.W.P. (1983). The weil conjectures in finite geometry. In: Casse, L.R.A. (eds) Combinatorial Mathematics X. Lecture Notes in Mathematics, vol 1036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071506

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  • DOI: https://doi.org/10.1007/BFb0071506

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12708-6

  • Online ISBN: 978-3-540-38694-0

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