YUKIE Akihiko 雪江明彦

… Alternative Names

Yukie Akihiko 雪江明彦

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Researcher Number	20312548
Affiliation (Current)	2022: 京都大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help	2017 – 2021: 京都大学, 理学研究科, 教授 2012 – 2015: 京都大学, 理学(系)研究科(研究院), 教授 2012: 京都大学, 理学研究科, 教授 2011 – 2012: 京都大学, 大学院・理学研究科, 教授 2011: 東北大学, 理学(系)研究科(研究院), 教授 2007 – 2010: 東北大学, 大学院・理学研究科, 教授 2000 – 2005: 東北大学, 大学院・理学研究科, 教授
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator 概均質ベクトル空間 / 密度定理 / ゼータ関数 / 代数群 / 有理軌道 / 幾何学的不変式論 / トーリック多様体 / 楕円曲線 / 量子群 / 整数論 … More / 2次形式 / 密度定 / 数論 / 群論 / 局所ゼータ関数 / 類数 / Q-曲線 / F-特異点 / 密着閉方 / 可積分系 / 既均質ベクトル空間 / 不定方程式 / キーワード6 / キーワード7 / キーワード8 / class number / density theorems / toric varieties / Q-curves / F-singularities / tight closure / elliptic curves / Mordell-Weil group / 代数的サイクル / モチーフ / フロベニウス写像 / 対数アーベル多様体 / test ideal / 密着閉包 / 対数的代数幾何 / Prehomogeneous vector spaces / Toric Variety / Algebraic cycles / Motif / Frobenius / 不変式論 / 局所密度 / GIT … More Except Principal Investigator モティーフ / 代数多様体 / 代数幾何学 / 三角圏 / 代数的サイクル / コホモロジー / トーリック多様体 / 扇 / 凸多面体 / 循環商特異点 / モチーフ / 代数群 / トーリック / 特異点 / 代数多様本 / モティーフ理論 / Chow群 / 代数サイクル / チャウ群 / 数論 / 代数幾何 / 環論 / 群論 / 表現論 / 数論的幾何学 / 代数学 / 整数論 / 解析数論 / Number Theory / Algebraic Geometry / Ring Theory / Group Theory / Representation Theory / 分解定理 / motif / algebraic cycles / cohomology Less

概均質ベクトル空間の整数論Principal Investigator
- Principal Investigator
  
  雪江明彦
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kyoto University
Number theory of prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  Yukie Akihiko
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Zeta functions pf prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  Yukie Akihiko
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Error terms of density theorems related to prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
  Tohoku University
Mixed motivic sheaves, category theory, and study of cycle complexes
- Principal Investigator
  
  HANAMURA Masaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Zeta functions of prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Extensions and applications of the theory of toric varieties
- Principal Investigator
  
  ISHIDA Masanori
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic GroupsPrincipal Investigator
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Applications of the theory of mixed motifs
- Principal Investigator
  
  HANAMURA Masaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study of relations and applications of Arithmetic Geometry to branches of Algebra
- Principal Investigator
  
  MORITA Yasuo
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic GroupsPrincipal Investigator
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University

[Book] 代数学3代数学の広がり2011
- Author(s)
  雪江明彦
- Total Pages
  432
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-20540003
[Book] 代数学3代数学のひろがり2011
- Author(s)
  雪江明彦
- Total Pages
  432
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-20540003
[Book] 代数学1群論入門2010
- Author(s)
  雪江明彦
- Total Pages
  158
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-20540003
[Book] 代数学2環と体とガロア理論2010
- Author(s)
  雪江明彦
- Total Pages
  300
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-20540003
[Book] 概説微分積分学2008
- Author(s)
  雪江明彦
- Total Pages
  257
- Publisher
  培風館
- Data Source
  KAKENHI-PROJECT-20540003
[Journal Article] On the GIT stratification of prehomogeneous vector spaces II2020
- Author(s)
  K. Tajima and A. Yukie
- Journal Title
  
  Tsukuba J. Math.
  
  Volume: 44 Pages: 1-62
- DOI
  10.21099/tkbjm/20204401001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03512
[Journal Article] On the density theorem related to the space of non-split tri-Hermitian forms II2020
- Author(s)
  Yukie, Akihiko
- Journal Title
  
  Manuscripta Math.
  
  Volume: 162 Pages: 221-239
- DOI
  10.1007/s00229-019-01116-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169, KAKENHI-PROJECT-20K03512
[Journal Article] Rational orbits of prehomogeneous vector spaces2020
- Author(s)
  A. Yukie
- Journal Title
  
  Algebraic number theory and related topics 2016, RIMS K\^{o}ky\^{u}roku Bessatsu
  
  Volume: B77 Pages: 179-182
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03512
[Journal Article] On the GIT stratification of prehomogeneous vector spaces I2020
- Author(s)
  K. Tajima and A. Yukie
- Journal Title
  
  Comment. Math. Univ. St. Pauli
  
  Volume: 68 Pages: 1-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03512
[Journal Article] On the density theorem related to the space of non-split tri-{H}ermitian forms I2019
- Author(s)
  Akihiko Yukie
- Journal Title
  
  J. Number Theory
  
  Volume: 194 Pages: 117-169
- DOI
  10.1016/j.jnt.2018.07.015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169
[Journal Article] Rational orbits of primitive trivectors in dimension six2019
- Author(s)
  Yukie, Akihiko
- Journal Title
  
  Tohoku Math. J. (2)
  
  Volume: 71
- DOI
  10.2748/tmj/1552100441
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169
[Journal Article] Rational orbits of prehomogeneous vector spaces2018
- Author(s)
  A. Yukie
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169
[Journal Article] Rational orbits of the space of pairs of exceptional Jordan algebras2018
- Author(s)
  Ryo Kato and Akihiko Yukie
- Journal Title
  
  J. NUmber Theory
  
  Volume: 189
- DOI
  10.1016/j.jnt.2017.12.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169
[Journal Article] Rational orbits of primitive trivectors in dimension six2018
- Author(s)
  A. Yukie
- Journal Title
  
  Tohoku Math. J.
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169
[Journal Article] Rational orbits of the space of pairs of exceptional Jordan algebras2018
- Author(s)
  R. Kato and A. Yukie
- Journal Title
  
  J. Number Theory
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05169
[Journal Article] Stratification of the null cone in the non-split case2014
- Author(s)
  Kajima Tajima and Akihiko Yukie
- Journal Title
  
  Comment. Math. Univ. St. Pauli
  
  Volume: 63
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340001
[Journal Article] On the density of unnormalized Tamagawa numbers of orthogonal groups II2009
- Author(s)
  N.Hasyasaka, A.Yukie
- Journal Title
  
  Amer.J.Math. 131
  
  Pages: 683-730
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540003
[Journal Article] On the density of unnormalized Tamagawa Numbers of orthogonal groups II.2009
- Author(s)
  N. Hayasaka and A. Yukie
- Journal Title
  
  Amer. J. Math
  
  Volume: 131(3) Pages: 683-730
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540003
[Journal Article] On the density of unnormalized Tamagawa numbers of orthogonal groups I2008
- Author(s)
  N. Hasyasaka and A. Yukie
- Journal Title
  
  Publ. Res. Inst. Math. Sci 44
  
  Pages: 545-607
- NAID
  110006648231
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540003
[Journal Article] On the density of unnormalized Tamagawa Numbers of orthogonal groups I.2008
- Author(s)
  N. Hayasaka and A. Yukie
- Journal Title
  
  Publ. Res. Inst. Math. Sci.
  
  Volume: 44(2) Pages: 545-608
- NAID
  110006648231
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540003
[Journal Article] On the number of quintic fields.2005
- Author(s)
  A.C.Kable, A.Yukie
- Journal Title
  
  Invent. Math. 160
  
  Pages: 217-259
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] On the number of quintic fields.2005
- Author(s)
  A.C.Kable, A.Yukie
- Journal Title
  
  Invent.Math. 160
  
  Pages: 217-259
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] On the space of quadruples of quinary alternating forms2004
- Author(s)
  A.Kable, A.Yukie
- Journal Title
  
  J.Pure Appl.Algebra 186
  
  Pages: 277-295
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] A construction of quintic rings2004
- Author(s)
  A.Kable, A.Yukie
- Journal Title
  
  Nagoya Math.J. 173
  
  Pages: 163-203
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] On a construction of quintic rings2004
- Author(s)
  A.C.Kable, A.Yukie
- Journal Title
  
  Nagoya Math. J. 173
  
  Pages: 163-203
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] On a construction of quintic rings.2004
- Author(s)
  A.C.Kable, A.Yukie
- Journal Title
  
  Nagoya Math.J. 173
  
  Pages: 163-203
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] On the number of quintic fields
- Author(s)
  A.Kable, A.Yukie
- Journal Title
  
  Invent.Math. To appear
- Data Source
  KAKENHI-PROJECT-15340001
[Presentation] On the GIT stratification of prehomogeneous vector spaces2021
- Author(s)
  Akihiko Yukie
- Organizer
  10th Pan Asian Number Theory Conference.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03512
[Presentation] On the density theorem related to the space of non-split tri-Hermitian forms2020
- Author(s)
  Yukie, Akihiko
- Organizer
  保型形式とL関数の解析的, 幾何的, p進的研究
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05169
[Presentation] On the density theorem related to the space of non-split tri-{H}ermitian forms2019
- Author(s)
  Yukie, Akihiko
- Organizer
  第6回京都保型形式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05169
[Presentation] On the local density of prehomoegenous vector spaces2017
- Author(s)
  A. Yukie
- Organizer
  4th Kyoto conference on automorphic forms
- Invited
- Data Source
  KAKENHI-PROJECT-17K05169
[Presentation] On orbits of prehomogeneous vector spaces2014
- Author(s)
  Akihiko Yukie
- Organizer
  Prehomogeneous vector spaces and related topics
- Place of Presentation
  Rikkyo University
- Year and Date
  2014-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-24340001
[Presentation] On zeta functions of prehomgenous vector spaces2013
- Author(s)
  雪江明彦
- Organizer
  金沢数論ミニ集会2013
- Place of Presentation
  金沢大学
- Invited
- Data Source
  KAKENHI-PROJECT-24340001
[Presentation] Prehomogeneous vector spaces and number theory2013
- Author(s)
  Akihiko Yukie
- Organizer
  Two-side workshop
- Place of Presentation
  Tsuinghua University
- Invited
- Data Source
  KAKENHI-PROJECT-24340001
[Presentation] Jordan分解について2012
- Author(s)
  雪江明彦
- Organizer
  第57回代数シンポジウム
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-08-23
- Data Source
  KAKENHI-PROJECT-24340001
[Presentation] On Z_p orbits of prehomogeneous vector spaces2012
- Author(s)
  雪江明彦
- Organizer
  Kyoto conference on automorphic forms
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23654003
[Presentation] On Z_p orbits of prehomogeneous vector spaces Kyoto conference on automorphic forms2012
- Author(s)
  雪江明彦
- Organizer
  Kyoto conference
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23654003
[Presentation] Jordan分解について2012
- Author(s)
  雪江明彦
- Organizer
  第57回代数シンポジウムKyoto conference on automorphic forms
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23654003
[Presentation] On Z_P orbits of prehomogeneous vector spaces2012
- Author(s)
  雪江明彦
- Organizer
  Kyoto conference on automorphic forms
- Place of Presentation
  京都大学
- Year and Date
  2012-10-05
- Data Source
  KAKENHI-PROJECT-24340001
[Presentation] Jordan分解について2012
- Author(s)
  雪江明彦
- Organizer
  第57回代数シンポジウム
- Place of Presentation
  数理解析研究所
- Data Source
  KAKENHI-PROJECT-23654003
[Presentation] Prehomogeneous vector spaces and number theory2009
- Author(s)
  雪江明彦
- Organizer
  東北復旦代数幾何合同シンポジウム
- Place of Presentation
  東北大学
- Year and Date
  2009-11-24
- Data Source
  KAKENHI-PROJECT-20540003
[Presentation] 概均質ベクトル空間と整数論2009
- Author(s)
  雪江明彦
- Organizer
  日本数学会代数学賞受賞記念特別講演
- Place of Presentation
  東京大学
- Year and Date
  2009-03-28
- Data Source
  KAKENHI-PROJECT-20540003
[Presentation] 概均質ベクトル空間と整数論2008
- Author(s)
  雪江明彦
- Organizer
  日本数学会2009年度春季総合分科会代数学賞受賞特別講演
- Place of Presentation
  東京大学
- Year and Date
  2008-03-28
- Data Source
  KAKENHI-PROJECT-20540003
[Presentation] 代数体上の直交群の非正規玉河数の密度について2007
- Author(s)
  雪江明彦
- Organizer
  日本数学会代数分科会一般講演
- Place of Presentation
  東北大学
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-19340001

1. ISHIDA Masanori (30124548)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. HANAMURA Masaki (60189587)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. OGATA Shoetsu (90177113)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. HARA Nobuo (90298167)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. MORITA Yasuo (20011653)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. KAJIWARA Takeshi (00250663)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. NAKAMURA Tetsuo (90016147)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TSUCHIHASHI Hiroyasu (00146119)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TAKAHASHI Tomokuni (50259793)

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11. SATO Hiroshi (20433310)

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12. KIMURA Shunichi (10284150)

# of Collaborated Projects: 1 results

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13. HIRATA Noriko (90215195)

# of Collaborated Projects: 1 results

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14. SAITO Takeshi (70201506)

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15. WATANABE Keiichi (10087083)

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16. 伊吹山知義 (60011722)

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17. 向井茂 (80115641)

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18. 坂内英一 (10011652)

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19. SATO atsushi (30241516)

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20. 長谷川浩司 (30208483)

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21. KANEKO Masanobu (70202017)

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22. SAITO Shuji (50153804)

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YUKIE Akihiko 雪江 明彦

Yukie Akihiko 雪江 明彦

Research Projects

Research Products

Co-Researchers

概均質ベクトル空間の整数論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Number theory of prehomogeneous vector spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Zeta functions pf prehomogeneous vector spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Error terms of density theorems related to prehomogeneous vector spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mixed motivic sheaves, category theory, and study of cycle complexes

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Zeta functions of prehomogeneous vector spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Extensions and applications of the theory of toric varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Number Theory and Geometry related to Algebraic GroupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of the theory of mixed motifs

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of relations and applications of Arithmetic Geometry to branches of Algebra

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Number Theory and Geometry related to Algebraic GroupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 代数学3代数学の広がり2011

Author(s)

Total Pages

Publisher

Data Source

[Book] 代数学3代数学のひろがり2011

Author(s)

Total Pages

Publisher

YUKIE Akihiko 雪江明彦

Yukie Akihiko 雪江明彦