Resumen de Galois points for a plane curve in characteristic two

Satoru Fukasawa

• Let C be an irreducible plane curve. A point P in the projective plane is said to be Galois with respect to C if the function field extension induced by the projection from P is Galois.

  We denote by ���(C) the number of Galois points contained in P2 \ C. In this article we will present two results with respect to determination of ���(C) in characteristic two. First we determine ���(C) for smooth plane curves of degree a power of two. In particular, we give a new characterization of the Klein quartic in terms of ���(C). Second we determine ���(C) for a generalization of the Klein quartic, which is related to an example of Artin.Schreier curves whose automorphism group exceeds the Hurwitz bound. This curve has many Galois points.