Hayasaka Futoshi 早坂太

… Alternative Names

Researcher Number	20409460
Other IDs
Affiliation (Current)	2022: 岡山大学, 環境生命科学学域, 准教授
Affiliation (based on the past Project Information) *help	2018 – 2020: 岡山大学, 環境生命科学研究科, 准教授 2013 – 2014: 北海道教育大学, 教育学部, 准教授 2012: 鹿児島工業高等専門学校, その他部局等, 准教授 2010 – 2011: 鹿児島工業高等専門学校, 一般教育科理系, 講師 2006 – 2009: 明治大学, 理工学部, 講師 2008: 明治大学, 理工学部, 兼任講師 2005: Meiji University, Dept.of Math., Assistant, 理工学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Basic Section 11020:Geometry-related
Keywords	Principal Investigator 局所環 / ブックスバウム・リム重複度 / 巴系加群 / 重複度 / ブックスバウム・リム関数 / 多重次数付き環 / 環拡大 / Koszul複体 / 加群 / コーエン・マコーレー局所環 … More Except Principal Investigator チャウ群 / 局所環 / 数値的同値 / Cox環 / 因子類群 / デターミナント射 / ヒルベルト・クンツ関数 / グロタンディェク群 / 代数サイクル / 代数学 / 代数的 K-理論 / Serre予想 / 交点数 / 完備匙 / トッド類 / フロベニウス / 標準因子 / 巡回商特異点 / Cox 環 / テータ不変量 / 極大 CM 加群 / 極大CM加群 / 標準加群 / 有限生成性 / 永田予想 / regularity / Seshadri constant / ピカール群 / チャウ郡 / グロタンディェク郡 / スタンダード予想 / 全座標間 / リーマン・ロッホ / 特異リーマン・ロッホ / グロタンディエク群 / グロタンデイェク群 / 全座標環 / リース環 / 素元分解環 / クルル環 / Chow group / Grothendieck group / numerical equivalence / standard conjectures / total coordinate ring / Cox ring / Hilbert-Kunz function / Riemann-Roch / 変換群論 / 同変手術理論 / one-fixed-point 作用 / k-pseudofree action / Smith 問題 / 擬逆極限 / 同変手術 / 不動点集合 / ポントリャーギン構成 / 横断正則 / 変換群 / 同変多様体 / 同変枠付き写像 / 擬逆極限系 Less

整閉包の理論の新展開と局所環論への応用Principal Investigator
- Principal Investigator
  
  早坂太
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University
Study of group actions on manifolds by psedo-inverse limit systems of equivariant framed maps
- Principal Investigator
  
  森本雅治
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Okayama University
A study of multiplicities associated to a graded ring extensionPrincipal Investigator
- Principal Investigator
  
  HAYASAKA Futoshi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University of Education
  Kagoshima National College of Technology
A basic theory of the multiplicity of parameter modules over a local ringPrincipal Investigator
- Principal Investigator
  
  HAYASAKA Futoshi
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kagoshima National College of Technology
Study of local rings with discrete class group and its Picard number
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
A research of algebraic cycles on local rings
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University
Numerical equivalence on Chow groups of local rings and its applications
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji University

All 2020 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

[Journal Article] Constructing indecomposable integrally closed modules over a two-dimensional regular local ring2020
- Author(s)
  Hayasaka Futoshi
- Journal Title
  
  Journal of Algebra
  
  Volume: 556 Pages: 879-907
- DOI
  10.1016/j.jalgebra.2020.03.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03535
[Journal Article] A computation of Buchsbaum-Rim functions of two variables in a special case2015
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Rocky Mountain Journal of Mathematics
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2014
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Communications in Algebra
  
  Volume: Volume 42, Issue 6
- DOI
  10.1080/00927872.2013.774407
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2013
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Communications in Algebra
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: 140 Pages: 2279-2284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740027
[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140 Pages: 2279-2284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740027
[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012
- Author(s)
  Futoshi Hayasaka
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740032
[Journal Article] On the Buchsbaum-Rim function of a parameter module2011
- Author(s)
  Futoshi Hayasaka, Eero Hyry
- Journal Title
  
  Journal of Algebra
  
  Volume: 327 Pages: 307-315
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740027
[Journal Article] A note on the Buchsbaum-Rim multiplicity of a parameter module2010
- Author(s)
  F.Hayasaka
- Journal Title
  
  Proc.Amer.Math.Soc. 138
  
  Pages: 545-551
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540050
[Journal Article] On vanishing of certain Ext modules2008
- Author(s)
  S. Goto, F. Hayasaka and R. Takahashi
- Journal Title
  
  J. Math. Soc. Japan 60
  
  Pages: 1045-1064
- NAID
  10024905254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] A family of graded modules associated to a module2008
- Author(s)
  F. Hayasaka
- Journal Title
  
  Comm. Algebra 36
  
  Pages: 4201-4217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] A family of graded modules associated to a module2008
- Author(s)
  F. Hayasaka and E. Hyry
- Journal Title
  
  Comm. Algebra 36
  
  Pages: 4201-4217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules2006
- Author(s)
  F. Hayasaka
- Journal Title
  
  J. Algebra 306
  
  Pages: 535-543
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules2006
- Author(s)
  F.Hayasaka
- Journal Title
  
  J.Algebra 306
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] 2変数Hilbert函数の多項式記述についての一考察
- Author(s)
  早坂太・山田修平
- Journal Title
  
  明治大学理工学部研究報告 (掲載決定)
- NAID
  40016269279
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] 2変数Hilbert函数の多項式記述についての-考察
- Author(s)
  早坂太
- Journal Title
  
  明治大学理工学部研究報告 (to appear)(確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules
- Author(s)
  F.Hayasaka
- Journal Title
  
  J.Algebra (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Journal Article] A family of graded modules associated to a module
- Author(s)
  F.Hayasaka
- Journal Title
  
  Communications in Algebra (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540052
[Journal Article] Asymptotic stability of primes associated to homogeneous components of multigraded modules
- Author(s)
  F.Hayasaka
- Journal Title
  
  J. Algebra to appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540038
[Presentation] 単項式イデアルに付随する高階数直既約整閉加群2020
- Author(s)
  早坂太
- Organizer
  可換環論オンラインワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-20K03535
[Presentation] 加群の２変数ブックスバウム・リム関数の計算2014
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  広島大学（広島県・東広島市）
- Year and Date
  2014-09-26
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 多重次数付き加群のgradeの漸近的周期性2011
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic behavior of primes associated to multigraded modules2011
- Author(s)
  Futoshi Hayasaka
- Organizer
  The 7th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Quy Nhon University(ベトナム)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic behavior of primes associated to multigraded modules2011
- Author(s)
  Futoshi Hayasaka
- Organizer
  The 7th Japan-Vietnam Joint Semianr on Commutative Algebra
- Place of Presentation
  Quy Nhon University (Vietnam)(招待講演)
- Year and Date
  2011-12-16
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic periodicity of primes associated to multigraded modules2011
- Author(s)
  早坂太
- Organizer
  第33回可換環論シンポジウム
- Place of Presentation
  浜名湖カリアック(浜松)
- Year and Date
  2011-11-08
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] The Buchsbaum-Rim function of a parameter module2010
- Author(s)
  早坂太
- Organizer
  The 5th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics Hanoi
- Year and Date
  2010-01-09
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] Asymptotic behavior of the grade associated to multigraded modules2010
- Author(s)
  早坂太
- Organizer
  第32回可換環論シンポジウム・The 6th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  IPC生産性国際交流センター(葉山)
- Year and Date
  2010-12-13
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] Asymptotic behavior of the grade associated to multigraded modules2010
- Author(s)
  早坂太
- Organizer
  第32回可換環論シンポジウム・The 6^<th> Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  IPC生産性国際交流センター(葉山)
- Year and Date
  2010-12-13
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] 加群のブックスバウム・リム関数2010
- Author(s)
  早坂太
- Organizer
  第141回数理情報科学談話会
- Place of Presentation
  鹿児島大学
- Year and Date
  2010-07-28
- Data Source
  KAKENHI-PROJECT-22740027
[Presentation] パラメータ加群の重複度について2009
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] ある素因子の集合の漸近挙動について2009
- Author(s)
  早坂太
- Organizer
  第21回可換環論セミナー
- Place of Presentation
  釧路市生涯学習センター
- Year and Date
  2009-01-28
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] The Buchsbaum-Rim function of a parameter module2009
- Author(s)
  早坂太
- Organizer
  Summer Seminar on ring theory
- Place of Presentation
  大阪府立大学
- Year and Date
  2009-06-25
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] On the Buchsbaum-Rim multiplicity of a parameter module2009
- Author(s)
  F. Hayasaka
- Organizer
  The 4-th Japan-Vietnam Joint Seminar on Comniutative Algebra
- Place of Presentation
  明治大学理工学部
- Year and Date
  2009-02-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] The Buchsbaum-Rim function of a parameter module2009
- Author(s)
  早坂太
- Organizer
  第42回環論および表現論シンポジウム
- Place of Presentation
  大阪教育大学
- Year and Date
  2009-10-10
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] A note on the Buchsbaum-Rim function of a parameter module2009
- Author(s)
  早坂太
- Organizer
  第31回可換環論シンポジウム
- Place of Presentation
  ホテルアウィーナ大阪
- Year and Date
  2009-11-26
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] パラメータ加群のブックスバウム・リム関数2009
- Author(s)
  早坂太
- Organizer
  日本数学会年会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-21540050
[Presentation] On the Buchsbaum-Rim multiplicity of a parameter module2009
- Author(s)
  F. Hayasaka
- Organizer
  The 4-th Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  明治大学理工学部
- Year and Date
  2009-02-21
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A family of graded modules associated to a module2008
- Author(s)
  F. Hayasaka
- Organizer
  International Conference in Commutative Algebra, IIT-Bombay
- Place of Presentation
  Mumbai(India)
- Year and Date
  2008-01-08
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A family of graded modules associated tO a module2008
- Author(s)
  早坂太
- Organizer
  International Conferance in Commutative Algebra
- Place of Presentation
  IIT-Bombay、インド
- Year and Date
  2008-01-10
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A note on the Buchsbaum-Rim multiplicity2008
- Author(s)
  早坂太
- Organizer
  第30回可換環論シンポジウム
- Place of Presentation
  佐賀
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] パラメータ加群とブックスバウム・リム重複度2008
- Author(s)
  早坂太
- Organizer
  第20回可換環論セミナー
- Place of Presentation
  千葉
- Year and Date
  2008-01-28
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] Aパラメータ加群とブックスバウム・リム重複度2008
- Author(s)
  早坂太
- Organizer
  第20回可換環論セミナー
- Place of Presentation
  千葉県勝浦市
- Year and Date
  2008-01-30
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A certain family of graded modules associated to a module2007
- Author(s)
  早坂太
- Organizer
  第19回可換環論セミナー
- Place of Presentation
  九州大学
- Year and Date
  2007-01-29
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] 加群に随伴するある次数加群の族について2007
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A family of graded modules associated to a module2007
- Author(s)
  早坂太
- Organizer
  第29回可換環論シンポジウム
- Place of Presentation
  愛知厚生年金会館ウェルシティなごや
- Year and Date
  2007-11-19
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] On certain graded modules associated to a module2007
- Author(s)
  早坂太
- Organizer
  The 3rd Japan-Vietnam joint seminar on commutative algebra
- Place of Presentation
  InStit,ut,e of Mathematics,Hanoi,Vietnam
- Year and Date
  2007-12-04
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] On certain graded modules associated to a module2007
- Author(s)
  F. Hayasaka
- Organizer
  The 3rd Japan-Vietnam Joint Seminar on Commutative Algebra
- Place of Presentation
  Institute of Mathematics, Hanoi, Vietnam
- Year and Date
  2007-12-03
- Data Source
  KAKENHI-PROJECT-18540052
[Presentation] A computation of Buchsbaum-Rim multiplicities in a special case
- Author(s)
  早坂太
- Organizer
  第35回可換環論シンポジウム
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 次数付き環拡大に付随する重複度の計算
- Author(s)
  早坂太
- Organizer
  第25回可換環論セミナー
- Place of Presentation
  奈良新公会堂
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 次数付き環拡大に付随する関数と重複度の計算
- Author(s)
  早坂太
- Organizer
  明治大学可換環論セミナー
- Place of Presentation
  明治大学生田キャンパス
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 巴系加群に付随する関数と重複度の計算
- Author(s)
  早坂太
- Organizer
  明治大学可換環論セミナー
- Place of Presentation
  明治大学生田キャンパス
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] 多重次数付き加群の素イデアルの漸近的周期性
- Author(s)
  早坂太
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24740032
[Presentation] Buchsbaum-Rim multiplicity and its generalization
- Author(s)
  早坂太
- Organizer
  南九州代数系集会
- Place of Presentation
  鹿児島大学
- Data Source
  KAKENHI-PROJECT-24740032

1. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. KAMOI Yuji (80308064)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. GOTO Shiro (50060091)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. NAKAMURA Yukio (00308066)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. SAKURAI Hideto (00409450)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 川崎健 (40301410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 森本雅治 (30166441)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hayasaka Futoshi 早坂 太

早坂 太 ハヤサカ フトシ

HAYASAKA Futoshi 早坂 太

Research Projects

Research Products

Co-Researchers

整閉包の理論の新展開と局所環論への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of group actions on manifolds by psedo-inverse limit systems of equivariant framed maps

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study of multiplicities associated to a graded ring extensionPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A basic theory of the multiplicity of parameter modules over a local ringPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of local rings with discrete class group and its Picard number

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A research of algebraic cycles on local rings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Numerical equivalence on Chow groups of local rings and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Constructing indecomposable integrally closed modules over a two-dimensional regular local ring2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A computation of Buchsbaum-Rim functions of two variables in a special case2015

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic periodicity of primes associated to multigraded modules2013

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic periodicity of grade associated to multigraded modules2012

Author(s)

Journal Title

Data Source

[Journal Article] On the Buchsbaum-Rim function of a parameter module2011

Author(s)

Hayasaka Futoshi 早坂太

早坂太ハヤサカフトシ

HAYASAKA Futoshi 早坂太