KOMATSU Tooru 小松亨

Researcher Number	10403974
Other IDs
Affiliation (based on the past Project Information) *help	2009 – 2014: 東京理科大学, 理工学部, 講師 2007 – 2008: 上智大学, 理工学部, 助教 2007: 上智大学, 助教
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator 代数学 / アルゴリズム Except Principal Investigator アルゴリズム / ガロア理論 / 代数学 / 整数論 / 3次の数論 / 5次可解生成多項式 / 4次生成多項式 / Hessian曲線の捻り … More / 5次可解生成的多項式 / 4次生成的多項式 / 一般チルンハウス変換 / Hessian 曲線の捻り / Cubic Thue equations / 2次体の類数問題 / 部分体問題 / 生成的多項式 / 幾何学 Less

Research on arithmetic of algebraic number fields by practical use of generic polynomialsPrincipal Investigator
- Principal Investigator
  
  KOMATSU Toru
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
A computational research on number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Development of Number Theory based on Generic Polynomials
- Principal Investigator
  
  MIYAKE Katsuya
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
A computational study on extensions of algebraic number fields with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University

All 2015 2014 2013 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation Book

[Book] 応用数理ハンドブック2013
- Author(s)
  日本応用数理学会監修、薩摩順吉、大石進一、杉原正顕編、小松亨他
- Total Pages
  685
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-23540029
[Book] 応用数理ハンドブック2013
- Author(s)
  小松亨, 他
- Total Pages
  685
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-23540029
[Journal Article] Restriction on Galois groups by prime inert condition2015
- Author(s)
  小松亨
- Journal Title
  
  Mathematical Journal of Okayama Univerisity
  
  Volume: 掲載確定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540032
[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2009
- Author(s)
  Toru Komatsu
- Journal Title
  
  RIMS Kokyuroku Bessatsu B12
  
  Pages: 223-230
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2009
- Author(s)
  Toru Komatsu
- Journal Title
  
  RIMS Kokyuroku Bessatsu 掲載決定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Generalized Kummer theory and its applications2009
- Author(s)
  Toru Komatsu
- Journal Title
  
  Proceedings Oujda 2006, Annales Mathematiques Blaise Pascal 16
  
  Pages: 97-108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Generalized Kummer theory and its applications2009
- Author(s)
  Toru Komatsu
- Journal Title
  
  Annales Mathematiques Blaise Pascal 16
  
  Pages: 97-108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Generalized Kummer theory and its applications2009
- Author(s)
  Toru Komatsu
- Journal Title
  
  Annales Mathematiques Blaise Pascal 16
  
  Pages: 127-138
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2009
- Author(s)
  Tort Komatsu
- Journal Title
  
  RIMS Ko^kyu^roku Bessatsu(数理解析研究所講究録別冊) B12
  
  Pages: 223-230
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2008
- Author(s)
  Toru Komatsu
- Journal Title
  
  Proceedings of the Symposium on Algebraic Number theory and Related Topics, RIMS Kokyuroku Bessatsu 掲載決定済
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Arithmetic of the splitting field of Alexander polynomial2008
- Author(s)
  Toru Komatsu
- Journal Title
  
  Journal of Knot Theory and Its Ramifications 17
  
  Pages: 399-409
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Tamely ramified Eisenstein fields with prime power discriminants2008
- Author(s)
  Toru Komatsu
- Journal Title
  
  Kyushu Journal of Mathematics 62
  
  Pages: 1-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Tamely ramified Eisenstein fields with prime power discriminants2008
- Author(s)
  Toru Komatsu
- Journal Title
  
  Kyushu Journal of Mathematics 62
  
  Pages: 1-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Arithmetic of the splitting field of Alexander polynomial2008
- Author(s)
  Toru Komatsu
- Journal Title
  
  Journal of Knot Theory and Its Ramifications 17
  
  Pages: 399-409
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Cyclic cubic field with explicit Artin symbols2007
- Author(s)
  Toru Komatsu
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages: 169-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Cyclic cubic field with explicit Actin symbols2007
- Author(s)
  Toru Komatsu
- Journal Title
  
  Tokyo Journal of Mathematics 30
  
  Pages: 169-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Cyclic cubic field with explicit Artin symbols2007
- Author(s)
  Toru Komatsu
- Journal Title
  
  Tokyo Jour. of Math 30
  
  Pages: 169-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Tamely ramified Eisenstein fields with prime power discriminants
- Author(s)
  Toru Komatsu
- Journal Title
  
  Kyushu Journal of Mathematics (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Cyclic cubic field with explicit Artin symbols
- Author(s)
  Toru Komatsu
- Journal Title
  
  Tokyo Jour.of Math 30
  
  Pages: 169-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms
- Author(s)
  Toru Komatsu
- Journal Title
  
  RIMS Kokyuroku Bessatsu (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Arithmetic of the splitting field of Alexander polynomial
- Author(s)
  Toru Komatsu
- Journal Title
  
  J.of Knot Theory and lts Ramifications (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Tamely ramified Eisenstein fields with prime power discriminants
- Author(s)
  Toru Komatsu
- Journal Title
  
  Kyushu J.of Math. (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540057
[Journal Article] Arithmetic of the splitting field of Alexander polynomial
- Author(s)
  Toru Komatsu
- Journal Title
  
  Journal of Knot Theory and Its Ramifications (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Belyi射について2014
- Author(s)
  小松亨
- Organizer
  関西多重ゼータ研究会
- Place of Presentation
  京都産業大学(京都府京都市)
- Year and Date
  2014-09-12
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] 与えられた位数のイデアルをもつ虚2次体の組について2014
- Author(s)
  小松亨
- Organizer
  第13回仙台広島整数論集会
- Place of Presentation
  東北大学青葉山キャンパス(宮城県仙台市)
- Year and Date
  2014-07-07
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] 類数がともにnで割り切れる虚2次体Q(￥sqrt{D}), Q(￥sqrt{mD})について2013
- Author(s)
  小松亨
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ(石川県)
- Year and Date
  2013-11-21
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] 代数体の惰性条件によるガロア群の制限について2013
- Author(s)
  小松亨
- Organizer
  愛知数論セミナー
- Place of Presentation
  愛知工業大学本山キャンパス(愛知県)
- Year and Date
  2013-06-15
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] 類数がともに n で割り切れる虚2次体 Q(\sqrt{D}), Q(\sqrt{mD}) について2013
- Author(s)
  小松亨
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ(石川県)
- Invited
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] On inverse Galois problem with certain prime conditions2012
- Author(s)
  小松　亨
- Organizer
  AMS Sectional Meeting AMS Special Session, 2012 Spring Western Section Meeting(招待講演)
- Place of Presentation
  ハワイ大学マノア校(アメリカ)
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] ある惰性条件をみたす代数体のガロア閉包について2012
- Author(s)
  小松亨
- Organizer
  松江数論研究集会
- Place of Presentation
  島根大学松江キャンパス(島根県)
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] On the existence of number fields with certain prime conditions2012
- Author(s)
  小松　亨
- Organizer
  Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms(招待講演)
- Place of Presentation
  ハワイ大学マノア校(アメリカ)
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] On inverse Galois problem with certain prime conditions2012
- Author(s)
  小松亨
- Organizer
  AMS Sectional Meeting AMS Special Session, 2012 Spring Western Section Meeting
- Place of Presentation
  ハワイ大学マノア校(アメリカ)(招待講演)
- Year and Date
  2012-03-04
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] On the existence of number fields with certain prime conditions2012
- Author(s)
  小松亨
- Organizer
  Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms
- Place of Presentation
  ハワイ大学マノア校(アメリカ)
- Year and Date
  2012-03-07
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] On the existence of number fields with certain prime conditions2012
- Author(s)
  小松亨
- Organizer
  Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms
- Place of Presentation
  ハワイ大学マノア校(アメリカ)(招待講演)
- Year and Date
  2012-03-07
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] On inverse Galois problem with certain prime conditions2012
- Author(s)
  小松亨
- Organizer
  AMS Sectional Meeting AMS Special Session, 2012 Spring Western Section Meeting
- Place of Presentation
  ハワイ大学マノア校(アメリカ)
- Year and Date
  2012-03-04
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] 拡大次数の素因子が惰性する代数体とそのガロア閉包について2011
- Author(s)
  小松亨
- Organizer
  学習院土曜セミナー
- Place of Presentation
  学習院大学(東京都)
- Year and Date
  2011-06-04
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] On the existence of a Galois field with certain decomposition conditions2011
- Author(s)
  小松亨
- Organizer
  早稲田整数論セミナー
- Place of Presentation
  早稲田大学西早稲田キャンパス(東京都)
- Year and Date
  2011-06-24
- Data Source
  KAKENHI-PROJECT-23540029
[Presentation] 生成的多項式の数論的実用について2010
- Author(s)
  小松亨
- Organizer
  日本応用数理学会2010年度年会
- Place of Presentation
  明治大学
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] Generic polynomials and their arithmetic properties2007
- Author(s)
  Toru Komatsu
- Organizer
  COE Conference on the Development of Dynamic Mathematics with High Functionality
- Place of Presentation
  福岡リーセントホテル
- Year and Date
  2007-10-04
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] Generic polynomials and their arithmetic properties2007
- Author(s)
  小松亨
- Organizer
  COE Conference on the Development of Dynamic Mathematics with High Functionality
- Place of Presentation
  福岡リーセントホテル
- Year and Date
  2007-10-04
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Shanksの3次多項式に関する幾つかの性質について2007
- Author(s)
  小松亨
- Organizer
  第2回福岡数論研究集会
- Place of Presentation
  九州大学
- Year and Date
  2007-08-30
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] Generic polynomials and their arithmetic properties2007
- Author(s)
  小松亨
- Organizer
  COE Conference on the Development of Dynamic Mathe matics with High Functionality
- Place of Presentation
  福岡リーセントホテル
- Year and Date
  2007-10-04
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 素数次巡回体の構成とフロベニウス置換について2007
- Author(s)
  小松亨
- Organizer
  研究集会「代数的整数論とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-12-13
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] グロタンディクのデッサンのグラフ構造を決定するアルゴリズムについて2007
- Author(s)
  小松亨
- Organizer
  備前冬季数学祭典2007
- Place of Presentation
  岡山大学
- Year and Date
  2007-12-15
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 素数次巡回体の構成とフロベニウス置換について2007
- Author(s)
  Toru Komatsu
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2007-12-13
- Data Source
  KAKENHI-PROJECT-19540057
[Presentation] 生成的多項式を用いた類体構成について2007
- Author(s)
  小松亨
- Organizer
  研究集会「ガロア理論とその周辺」
- Place of Presentation
  山形大学
- Year and Date
  2007-11-03
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 代数体の惰性条件によるガロア群の制限について
- Author(s)
  小松　亨
- Organizer
  愛知数論セミナー
- Place of Presentation
  愛知工業大学本山キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-22540032
[Presentation] 数がともに n で割り切れる虚2次体 Q(\sqrt{D}), Q(\sqrt{mD}) について
- Author(s)
  小松　亨
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ
- Invited
- Data Source
  KAKENHI-PROJECT-22540032

1. RIKUNA Yuuichi (10434309)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. HOSHI Akinari (50434262)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. TSUZUKI Masao (80296946)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. UMEGAKI Atsuki (60329109)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. MORIYAMA Tomonori (80384171)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KISHI Yasuhiro (60380375)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. GOMI Yasushi (50276515)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. NAKASUJI Maki (30609871)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KOMATSU Tooru 小松 亨

Research Projects

Research Products

Co-Researchers

Research on arithmetic of algebraic number fields by practical use of generic polynomialsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A computational research on number fields and coverings with non-commutative Galois groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development of Number Theory based on Generic Polynomials

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A computational study on extensions of algebraic number fields with non-commutative Galois groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 応用数理ハンドブック2013

Author(s)

Total Pages

Publisher

Data Source

[Book] 応用数理ハンドブック2013

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Restriction on Galois groups by prime inert condition2015

Author(s)

Journal Title

Data Source

[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2009

Author(s)

Journal Title

Data Source

[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2009

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Kummer theory and its applications2009

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Kummer theory and its applications2009

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Kummer theory and its applications2009

Author(s)

Journal Title

Data Source

[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2009

Author(s)

Journal Title

Data Source

[Journal Article] Construction of cyclic number fields with prime degree and their Frobenius automorphisms2008

Author(s)

Journal Title

Data Source

[Journal Article] Arithmetic of the splitting field of Alexander polynomial2008

Author(s)

Journal Title

Data Source

[Journal Article] Tamely ramified Eisenstein fields with prime power discriminants2008

Author(s)

Journal Title

Data Source

[Journal Article] Tamely ramified Eisenstein fields with prime power discriminants2008

Author(s)

KOMATSU Tooru 小松亨