On the Number of Galois Points for a Plane Curve in Positive Characteristic

On the number of Galois points for a plane curve in positive characteristic, II

“…On the other hand, in the previous paper [5], the present author generalized the Yoshihara's results to positive characteristic p. Under the assumption (a) p > 2 and d ≡ 1 modulo p, Yoshihara's result (1) is true. Also, under the assumption that (b) d ≡ 0, 1 modulo p, or (c) d ≡ 1 modulo p and C has the separable dual map onto its image, Yoshihara's result (2) is true.…”

“…The author thanks Professor Kei Miura for valuable discussions. The author thanks the referee of the previous paper [5], on which the comments inspire Theorems 3 and 4.…”

“…The second purpose is a generalization of the results in the previous paper [5]. We refine the conditions (a) and (c).…”

“…outer) Galois points for a smooth plane curve of degree d ≡ 1 (resp. d ≡ 0) modulo p (see also [4,5,10,12]). Let P be an inner (resp.…”

The Galois group of a projection of a Hermitian curve

“…In fact, we saw it by an example when the projection is a Galois covering, which is explained in Theorem 1 below. Recently, Fukasawa studied the matter of Galois points in positive characteristic in general [3,4,5,6].…”