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19 papers · 1 filter
Algebraic-geometric codes with many automorphisms arising from Galois points
Satoru Fukasawa
A method of constructing algebraic-geometric codes with many automorphisms arising from Galois points for algebraic curves is presented.
Quasi-Galois points, II: Arrangements
Satoru Fukasawa, Kei Miura, Takeshi Takahashi
In Part I, the present authors introduced the notion of a quasi-Galois point, for investigating the automorphism groups of plane curves. In this second part, the number of quasi-Ga…
Galois lines for the quotient curve of the Hermitian curve by an involution
Satoru Fukasawa
The arrangement of all Galois lines for the quotient curve of the Hermitian curve by an involution in the projective 3-space is described, in terms of the geometry over finite fiel…
Normal reduction numbers of normal surface singularities
Tomohiro Okuma
This article consists of two parts. The first part is a survey on the normal reduction numbers of normal surface singularities. It includes results on elliptic singularities, cone-…
Galois points for the Dickson-Guralnick-Zieve curve
Satoru Fukasawa
The Dickson-Guralnick-Zieve curve over a finite field has been studied recently by Giulietti, Korchmaros and Timpanella in several points of view. In this short note, the distribut…
Cohomology of ideals in elliptic surface singularities
Tomohiro Okuma
We introduce the the normal reduction number of two-dimensional normal singularities and prove that elliptic singularity has normal reduction number two. We also prove that for a t…