manYPoints

Submitted by	Gerrit Oomens
Date	01/01/1900
Reference	Jean-Pierre Serre Sur le nombre de points rationnels d'une courbe algébrique sur un corps fini C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 397–402. (= Œuvres III, No. 128, 658–663).
Comments
Tags	Methods from general class field theory

Defining equation	Isabel Pirsic 06/18/2012 11:36
E.g., (x^12 + x^10 + x^8 + x^6 + x^4 + x^2 + 1)y^4 + (x^14 + x^13 + x^11 + x^9 + x^7 + x^5 + x^3 + x + 1)y^2 + (x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 +x^5 + x^4 + x^3 + x^2 + x)*y + x^11 + x^9 + x^7 + x^5

Submitted by	Everett Howe
Date	04/14/2010
Reference	Jean-Pierre Serre Rational points on curves over finite fields Notes by Fernando Q. Gouvêa of lectures at Harvard University, 1985.
Comments	The Oesterlé bound. Here is a real Weil polynomial that we don't know how to eliminate: (x + 2) * (x^2 + 2x - 1) (x^2 + 3x + 1) (x^4 + 2x^3 - 4x^2 - 5*x + 1)
Tags	Oesterlé bound

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