徳永浩雄

Tokunaga Hiro-o

所属機関・部署：
職名：教授

研究分野 (1件)：代数学

研究キーワード (5件)：代数幾何 , 学習理論 , 楕円曲面 , 基本群 , 分岐被覆

競争的資金等の研究課題 (49件)：

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論文 (52件)：

Enrique Artal Bartolo, Shinzo Bannai, Taketo Shirane, Hiro-o Tokunaga. Torsion divisors of plane curves with maximal flexes and Zariski pairs. Mathematische Nachrichten. 2023
S. Bannai, H, Tokunaga, E.Yorisaki. Ramified and Split models of elliptic surfaces and bitangent lines of quartic curves. Commentarii Mathematici Universitatis Sancti Pauli 印刷中. 2023
Ai TAKAHASHI, Hiro-o TOKUNAGA. An explicit construction for $n$-contact curves to a smooth cubic via divisions of polynomials and Zariski tuples. Hokkaido Mathematical Journal. 2022. 51. 3. 389-405
S. Bannai, N. Kawana, R. Masuya, H. Tokunaga. Trisections on certain rational elliptic surfaces and families of Zariski pairs degenerating to the same conic-line arrangement. Geometriae Dedicata. 2022. 216. 1
E. Artal Bartolo, S. Bannai, T. Shirane, H. Tokunaga. Torsion divisors of plane curves and Zariski pairs. Algebra I Analiz. 2022. 22. 5. 22

MISC (19件)：

S. Bannai, R.Masuya, T.Shirane, H. Tokunaga and E.Yorisaki. Poncelet's closure theorem and the embedded topology of conic-line arrangements. arXiv:2312.01868. 2023
M. Amram, S. Bannai, T. Shirane, U. Sinichkin, H. Tokunaga. The realization space of a certain conic line arrangement of degree 7 and a $\pi_1$-equivalent Zariski pair. arXiv: 2307.01736. 2023
徳永浩雄. 今も影響を受けている洋書. 数学セミナー. 2022. 61. 12. 12-13
徳永浩雄. 平面曲線のトポロジーと2次被覆のarithmetic. 第63回代数学シンポジウム報告集. 2018
Y.Uchida, H. Tokunaga. A remark on a Nagell-Lutz type statement for the Jacobian of a curve of genus 2 and a (2, 3, 6) quasi-torus decomposition of a sextic with 9 cusps. arXiv:1808.10187. 2018

書籍 (3件)：

講演・口頭発表等 (35件)：

超楕円曲線上の因子の表現と平面曲線の構成
(湯布院代数幾何学ワークショップ 2023)
Poncelet closure theorem and the embedded topology of conic-line arrangements
(新潟代数シンポジウム 2023)
Representations of divisors on hyperelliptic curves and their application to geometry
(Workshop Topology of Singularities and Related Topics at Quy Nhon, Vietnam 2023)
Representation of divisors on hyperelliptic curves and its application to geometry
(Workshop on Algebraic Geometry and Topology 2023 at National Univ. Mongolia 2023)
Arithmetic of double covers and its application to the topology of plane curves
(115AM Algebraic and topological interplay of algebraic varieties at Jaca, Spain 2023)

学位 (1件)：

経歴 (6件)：

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所属学会 (2件)：

人工知能学会 , 日本数学会

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徳永 浩雄