Research theme for competitive and other funds (49)：
2023 - 2028 Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
2020 - 2024 Elliptic surfaces, branched covers and the topology of plane curve arrangements
2018 - 2023 Explicit study of hyperplane arrangements and related stratified spaces via discrete structures
2017 - 2022 Elliptic surfaces and the topology of plane curves
2015 - 2019 Comprehensive research of Galois embedding of algebraic variety
2014 - 2018 Development and application of Galois point theory of projective varieties
2013 - 2017 Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications
2012 - 2017 Studies of fibred complex surfaces from diversified perspectives
2013 - 2016 Arrangements of hyperplanes and conics via real structures
2012 - 2016 Study on Glois embedding of surface of non-general type
2010 - 2014 Data Mining Methods Based on Closed Sets for Data Which Are Combination of Discrete and Continuous Attributes
2009 - 2014 Arithmetic and Moduli Spaces around Galois-Teichmueller tower
2010 - 2012 Branched covers and topology of open algebraic surfaces
2009 - 2012 Exploitation of new relations between differential geometry and quantum cohomology in the context of integrable systems
2009 - 2011 Study on the various structures of algebraic surfaces by Galois embeddings
2008 - 2011 Research on the geometry of the projective hypersutfaces and plane curves
2007 - 2010 Geometry of Moduli Spaces and its Application to Infinite Analysis
2007 - 2009 Branched covers and Zariski pairs
2007 - 2009 Knowledge Discovery from Structured Data with Efficient Methods of Searching Lower Sets Based on Frequency
2007 - 2008 Study on the Galois embeddings of K3 surfaces
2006 - 2008 Research on quantum cohomology, Frobenius manifolds, and harmonic maps related to integrable systems
2005 - 2008 Hyperplane arrangements and their applications
2006 - 2007 Explicit Study of Algebraic Varieties
2004 - 2007 Development of a system for number theory by script language and related research on algorithmic number theory
2004 - 2007 Various aspects of pencils of algebraic curves
2005 - 2006 Study on Galois embeddings of algebraic surfaces
2004 - 2006 ブール環を用いた代数的手法による帰納論理の基礎理論
2004 - 2006 代数幾何学に現れるプロシージャの計算論的学習理論の側面
2004 - 2006 Hypersurface singularity theory from fundamental group
2003 - 2004 Research on space curve and its Galois line
2002 - 2004 Fundamental groups of algebraic varieties
2002 - 2004 Arithmetic of Cubic Fields and Elliptic Curves associated to them
2002 - 2004 Research on arrangements of hyperplane
2002 - 2003 Geometry of branched Galois covers and number theory
2001 - 2002 Comprehensive Study of Stable Bundles on Calabi-Yau Manifolds
2001 - 2002 Research on the structures of hypersurfaces and their function fields
1999 - 2001 Research on arrangements of hyperplanes
1999 - 2000 Integrated study on problems related to branched Galois covers
1998 - 1999 Degree of irrationalities of algebraic surfaces with Kodaira dimension zero
1997 - 1999 Study of Singularity Theory From Fundamental Group
1997 - 1998 函数体上の代数曲線の数論と分岐被覆
1996 - 1996 複素力学系の位相的研究
1996 - 1996 超弦理論と非可換代数幾何学の関係の研究
1995 - 1995 代数多様体の分岐被覆とその応用
1994 - 1994 代数多様体の分岐被覆
1993 - 1993 数論的手法を用いた分岐被覆の研究
1993 - 1993 数論と分岐被覆、そしてCalabi-Yan多様体
1992 - 1992 数論的離散群の研究とその応用
1990 - 1990 自由直和因子を持つ加群の特徴付けとそのホモロジ-予想への応用
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Papers (52)：
Enrique Artal Bartolo, Shinzo Bannai, Taketo Shirane, Hiro-o Tokunaga. Torsion divisors of plane curves with maximal flexes and Zariski pairs. Mathematische Nachrichten. 2023
Ramified and Split models of elliptic surfaces and bitangent lines of quartic curves. Commentarii Mathematici Universitatis Sancti Pauli, in press. 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
S. Bannai, R.Masuya, T.Shirane, H. Tokunag 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
Hiroo Tokunaga. The topology of plane curves and the arithmetic of double covers. 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
Poncelet closure theorem and the embedded topology of conic-line arrangements
(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)
