Let C be an irreducible plane curve of PG(2, K )where K is an algebraically closed field of characteristic p ≥0. A point Q ∈C is an inner Galois point for C if the projection πQ from Q is Galois. Assume that C has two different inner Galois points Q1and Q2, both simple. Let G1and G2be the respective Galois groups. Under the assumption that Gi fixes Qi, for i =1, 2, we provide a complete classification of G =G1, G2 and we exhibit a curve for each such G. Our proof relies on deeper results from group theory
Curves with more than one inner Galois point
Korchmáros, Gábor
Membro del Collaboration Group
;
2021-01-01
Abstract
Let C be an irreducible plane curve of PG(2, K )where K is an algebraically closed field of characteristic p ≥0. A point Q ∈C is an inner Galois point for C if the projection πQ from Q is Galois. Assume that C has two different inner Galois points Q1and Q2, both simple. Let G1and G2be the respective Galois groups. Under the assumption that Gi fixes Qi, for i =1, 2, we provide a complete classification of G =G1, G2 and we exhibit a curve for each such G. Our proof relies on deeper results from group theoryFile in questo prodotto:
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