Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Fukasawa, Satoru"'
Autor:
Fukasawa, Satoru, Miezaki, Tsuyoshi
This paper introduces the notion of a Galois point for a finite graph, using the theory of linear systems of divisors for graphs discovered by Baker and Norine. We present a new characterization of complete graphs in terms of Galois points.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2308.05293
Autor:
Fukasawa, Satoru
A connection between Galois points of an algebraic curve and those of a quotient curve is presented; in particular, the notion of a descendant of algebraic curves admitting two Galois points is introduced. It is shown that all descendants of a Fermat
Externí odkaz:
http://arxiv.org/abs/2306.16044
Autor:
Fukasawa, Satoru
A method of constructing algebraic-geometric codes with many automorphisms arising from Galois points for algebraic curves is presented.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2211.16823
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-Galois points for smooth plane curves is described. In particular, sexti
Externí odkaz:
http://arxiv.org/abs/2211.16033
Autor:
Fukasawa, Satoru
Publikováno v:
Annali di Matematica Pura ed Applicata 203 (2024), 635-646
This paper presents a new characterisation of the Fermat curve, according to the arrangement of Galois points.
Comment: 14 pages. In the second version, the proof for the case where the degree $d$ of the curve is six was added, and the assumptio
Comment: 14 pages. In the second version, the proof for the case where the degree $d$ of the curve is six was added, and the assumptio
Externí odkaz:
http://arxiv.org/abs/2210.02076
Autor:
Fukasawa, Satoru
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 fields. All Galois points for three plane models of this curve admitting t
Externí odkaz:
http://arxiv.org/abs/2207.03759
Autor:
Fukasawa, Satoru
Publikováno v:
Hiroshima Mathematical Journal 54 (2024), 37-43
This paper presents a connection between Galois points and rational functions over a finite field with small value sets. This paper proves that the defining polynomial of any plane curve admitting two Galois points is an irreducible component of a po
Externí odkaz:
http://arxiv.org/abs/2111.06113
Autor:
Fukasawa, Satoru
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 959--966
This paper presents a method of a construction of tangentially degenerate curves with a birational Gauss map, focusing on the non-classicality of automorphisms. This method describes a generalization of Esteves--Homma's example of this kind. In addit
Externí odkaz:
http://arxiv.org/abs/2108.00650
Autor:
Fukasawa, Satoru, Waki, Katsushi
It is proved that there exist plane rational curves of degree twelve (resp. twenty-four) with two different outer Galois points such that the Galois group at one of two Galois points is an alternating group $A_4$ (resp. a symmetric group $S_4$) of de
Externí odkaz:
http://arxiv.org/abs/2103.02218
Autor:
Fukasawa, Satoru
There are two purposes in this article. One is to present a criterion for the existence of a birational embedding into a projective plane with inner and outer Galois points for algebraic curves. Another is to classify plane curves of degree $d$ admit
Externí odkaz:
http://arxiv.org/abs/2010.00815