Zobrazeno 1 - 10 of 69 pro vyhledávání: '"Satoru Fukasawa"'
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Akademický článek
Algebraic curves admitting non-collinear Galois points.
Autor: SATORU FUKASAWA
Publikováno v: Rendiconti del Seminario Matematico della Universita di Padova; 2023, Vol. 149, p183-190, 8p
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4
An elementary abelian p-cover of the Hermitian curve with many automorphisms
Autor: Herivelto Borges, Satoru Fukasawa
Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
The full automorphism group of a certain elementary abelian $p$-cover of the Hermitian curve in characteristic $p>0$ is determined. It is remarkable that the order of Sylow $p$-groups of the automorphism group is close to Nakajima's bound in terms of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c5f172e0d80671f2866da910240aa62
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5
Galois lines for the Giulietti–Korchmáros curve
Autor: Kazuki Higashine, Satoru Fukasawa
Publikováno v: Finite Fields and Their Applications. 57:268-275
We describe the arrangement of all Galois lines for the Giulietti–Korchmaros curve in the projective 3-space. As an application, we determine the set of all Galois points for a plane model of the GK curve. This curve possesses many Galois points.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::acc6556c762fae64bbf9c4d155779a33
https://doi.org/10.1016/j.ffa.2019.02.009
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8
Galois points for double-Frobenius nonclassical curves
Autor: Herivelto Borges, Satoru Fukasawa
Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
We determine the distribution of Galois points for plane curves over a finite field of $q$ elements, which are Frobenius nonclassical for different powers of $q$. This family is an important class of plane curves with many remarkable properties. It c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30d180b35a0356aea809577d0715df0d
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9
A birational embedding of an algebraic curve into a projective plane with two Galois points
Autor: Satoru Fukasawa
Publikováno v: Journal of Algebra. 511:95-101
A criterion for the existence of a birational embedding of an algebraic curve into a projective plane with two Galois points is presented. Several novel examples of plane curves with two inner Galois points as an application are described.
7 pag
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::458be0a8f244ec92d4729d61f42cc7f1
https://doi.org/10.1016/j.jalgebra.2018.06.020
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10
A birational embedding with two Galois points for certain Artin–Schreier curves
Autor: Satoru Fukasawa, Kazuki Higashine
Publikováno v: Finite Fields and Their Applications. 52:281-288
We show that two curves of Artin–Schreier type have a birational embedding into a projective plane with two Galois points. As a consequence, all curves with large automorphism groups in the classification list by Henn have a birational embedding wi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4703e3de224492e0421709eed9c2dfd4
https://doi.org/10.1016/j.ffa.2018.04.009
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