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Research

Personal Web Page

Field of Study

○ Algebraic Geometry

Subject of Study

○ Embedded topology of plane curves

Book / Paper

Academic Paper (Judged Full Paper):

1. Taketo Shirane :
Double covers and vector bundles of rank two,
Manuscripta Mathematica, 171, 499-527, 2023.
(DOI: 10.1007/s00229-022-01405-y)
2. Enrique Bartolo Artal, Shinzo Bannai, Taketo Shirane and Hiro-o Tokunaga :
Torsion divisors of plane curves with maximal flexes and Zariski pairs,
Mathematische Nachrichten, 296, 6, 2214-2235, 2023.
(DOI: 10.1002/mana.202000319,   Elsevier: Scopus)
3. Taketo Shirane and Akihito Sumitomo :
On effective divisors on certain double covers and their linealy equivalent classes,
Journal of Mathematics, The University of Tokushima, 57, 63-84, 2023.
4. E. Artal Bartolo, S. Bannai, Taketo Shirane and H. Tokunaga :
Torsion divisors of plane curves and Zariski pairs,
Algebra i Analiz, 34, 5, 721-736, 2022.
(DOI: 10.1090/spmj/1776,   Elsevier: Scopus)
5. Taketo Shirane and Shinzo Bannai :
Nodal curves with a contact-conic and Zariski pairs,
Advances in Geometry, 19, 4, 555-572, 2019.
(DOI: 10.1515/advgeom-2018-0032,   Elsevier: Scopus)
6. Taketo Shirane :
Galois covers of graphs and embedded topology of plane curves,
Topology and its Applications, 257, 122-143, 2019.
(Tokushima University Institutional Repository: 2009665,   DOI: 10.1016/j.topol.2019.03.002)
7. Taketo Shirane :
Connected numbers and the embedded topology of plane curves,
Canadian Mathematical Bulletin, 61, 3, 650-658, 2018.
(Tokushima University Institutional Repository: 2006923,   DOI: 10.4153/CMB-2017-066-5)
8. Taketo Shirane and Guerville-Balle Benoit :
Non-homotopicty of the linking set of algebraic plane curves,
Journal of Knot Theory and Its Ramifications, 26, 13, 1750089, 2017.
(DOI: 10.1142/s0218216517500894,   CiNii: 1360285711143781632)
9. Bannai S., Guerville-Balle B., Taketo Shirane and Tokunaga H. :
On the topology of arrangements of a cubic and its inflectional tangents,
Proceedings of the Japan Academy. Series A, Mathematical Sciences, 93, 6, 50-53, 2017.
(DOI: 10.3792/pjaa.93.50,   CiNii: 1521699229763384064,   Elsevier: Scopus)
10. Taketo Shirane :
A note on splitting numbers for Galois covers and ϖ_1-equivalent Zariski k-plets,
Proceedings of the American Mathematical Society, 145, 3, 1009-1017, 2017.
(Tokushima University Institutional Repository: 2009664,   DOI: 10.1090/proc/13298,   CiNii: 1360855571129105920,   Elsevier: Scopus)
11. Taketo Shirane :
A note on normal triple covers over P^2 with branch divisors of degree 6,
Kodai Mathematical Journal, 37, 2, 330-340, 2015.
(DOI: 10.2996/kmj/1404393890,   Elsevier: Scopus)
12. Taketo Shirane :
Galois closure covers for 5-fold covers between smooth surfaces and its application,
Kyushu Journal of Mathematics, 69, 2, 229-257, 2015.
(DOI: 10.2206/kyushujm.69.229,   Elsevier: Scopus)
13. Taketo Shirane :
Corrigendum to "Families of Galois closure curves for palne quintic curves" [J. Algebra 342 (1) (2011) 175-196],
Journal of Algebra, 377, 317-319, 2013.
(DOI: 10.1016/j.jalgebra.2012.11.048)
14. Taketo Shirane :
Families of Galois closure curves for plane quintic curves,
Journal of Algebra, 342, 1, 175-196, 2011.
(DOI: 10.1016/j.jalgebra.2011.06.022,   Elsevier: Scopus)
15. Taketo Shirane :
On 4-fold covers of algebraic surfaces,
Kyushu Journal of Mathematics, 64, 2, 297-322, 2010.
(DOI: 10.2206/kyushujm.64.297,   Elsevier: Scopus)

Proceeding of International Conference:

1. Taketo Shirane :
Combinatorial type and splitting invariants of plane curves,
Seminar on Algebraic Geometry and Topology, Oct. 2024.
2. Taketo Shirane :
Splitting invariants and examples of Zariski pairs,
Workshop on Algebraic Geometry and Topology 2023, Aug. 2023.
3. Taketo Shirane :
A construction of line bundles on double covers and splitting curves,
Degenerations, algebraic surfaces and related topics, Kobe, Dec. 2019.
4. Taketo Shirane :
A construction of line bundles of double covers and splitting curves,
Geometry in Pyrenees, Pau, France, Sep. 2019.
5. Taketo Shirane :
Galois covers of graphs and embedded topology of plane curves,
第16回代数曲線論シンポジウム, 神奈川工科大学, Dec. 2018.
6. Taketo Shirane :
Galois covers of graphs and embedded topology of plane curves,
Fifteenth International Conference Zaragoza-Pau on Mathematics and its Applications, Jaca in Spain, Sep. 2018.

Proceeding of Domestic Conference:

1. Taketo Shirane :
Combinatorial type and splitting invariants of plane curves,
日本数学会2025年度年会, Mar. 2025.
2. Taketo Shirane and Mitsui Kentaro :
Chern polynomials of push-forwards of divisorial sheaves on double coverings,
湯布院代数幾何学ワークショップ, Dec. 2024.
3. Taketo Shirane :
A note on combinatorial type and splitting invariants of plane curves,
Minami-Chita workshop on algebraic, arithmetic, and comple geometry, May 2024.
4. Taketo Shirane :
Splitting invariants and examples of Zariski pairs,
リーマン面に関連する位相幾何学, Aug. 2023.
5. Taketo Shirane :
Divisor class groups of double covers over projective spaces,
阪大代数幾何学セミナー, Apr. 2023.
6. Taketo Shirane, Meirav Amram, Shinzo Bannai, Uriel Sinichkin and Hiro-o Tokunaga :
Splitting invariants and a ϖ_1 equivalent Zariski pair of conic-line arrangements,
日本数学会年会, Mar. 2023.
7. Taketo Shirane :
Modified plumbing graphs and Galois covers of plane curves,
神戸代数幾何学ワークショップ, Dec. 2022.
8. Taketo Shirane :
Splitting invariants of plane curves,
第25回代数曲面ワークショップ at 南大沢, Aug. 2022.
9. Taketo Shirane :
Double covers and vector bundles of rank two,
城崎代数幾何学シンポジウム2020, Oct. 2020.
10. Taketo Shirane :
Double covers and vector bundles of rank two,
第22回代数曲面ワークショップZoom, Sep. 2020.
11. Taketo Shirane :
グラフの巡回被覆と平面曲線の埋込位相について,
平成30年度第1回徳島数学談話会(冬の会), Dec. 2018.
12. Taketo Shirane :
Galois covers of graphs and embedded topology or plane curves,
射影多様体の幾何とその周辺2018, Oct. 2018.
13. Taketo Shirane :
Graphs and the embedded topology of plane curves,
第18回代数曲面ワークショップ at 秋葉原, Jul. 2018.
14. Taketo Shirane :
Galois covers of graphs and embedded topology of plane curves,
幾何学コロキウム, Jun. 2018.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • 複素射影空間上の巡回被覆の因子類群の研究とその応用 (Project/Area Number: 21K03182 )
  • Studies of the geography of fibrations of algebraic curves from the theory of higher degree coverings and muduli spaces (Project/Area Number: 15K04833 )
  • The microstructure fabrication of ordered three-dimensional silicon films made by the electrochemical reduction of bromosilane by using the inverse- or opal template (Project/Area Number: 26550077 )
  • Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications (Project/Area Number: 25610007 )
  • Search by Researcher Number (70615161)