Nobuo Hara

Profile Information

Affiliation: Tokyo University of Agriculture and Technology Institute of Engineering

Degree: 博士（理学）(早稲田大学)

J-GLOBAL ID: 201901004379084894

Research Interests

Research Areas

Natural sciences / Algebra / algebraic geometry and commutative algebra

Research History

Oct, 2013 - Present

Tokyo University of Agriculture and Technology
Apr, 2007 - Mar, 2013

Tohoku University Graduate School of Science
Jan, 2003 - Mar, 2007

Tohoku University Graduate School of Science
Apr, 2000 - Dec, 2002

Tohoku University Graduate School of Science
Apr, 1997 - Mar, 2000

Waseda University School of Science and Engineering

Papers

The FFRT property of two-dimensional normal graded rings and orbifold curves

Nobuo Hara, Ryo Ohkawa

Advances in Mathematics 2020 Peer-reviewed
Structure of the F-blowups of simple elliptic singularities

Nobuo Hara

J. Math. Sci. Univ. Tokyo 22 193 - 218 2015 Peer-reviewed
Looking out for Frobenius summands on a blown-up surface of P2

Nobuo Hara

Illinois J. Math. 59(1) 115 - 142 2015 Peer-reviewed
F-blowups of normal surface singularities

Nobuo Hara, Tadakazu Sawada, Takehiko Yasuda

ALGEBRA & NUMBER THEORY 7(3) 733 - 763 2013 Peer-reviewed
F-blowups of F-regular surface singularities

Nobuo Hara

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 140(7) 2215 - 2226 Jul, 2012 Peer-reviewed
Splitting of Frobenius sandwiches

Nobuo Hara, Tadakazu Sawada

RIMS Kokyuroku Bessatsu B24 121 - 141 2011 Peer-reviewed Invited
F-pure thresholds and F-jumping exponents in dimension two

Nubuo Hara

MATHEMATICAL RESEARCH LETTERS 13(5-6) 747 - 760 Sep, 2006 Peer-reviewed
A characteristic p analog of multiplier ideals and applications

N Hara

COMMUNICATIONS IN ALGEBRA 33(10) 3375 - 3388 2005 Peer-reviewed
On a generalization of test ideals

N Hara, S Takagi

NAGOYA MATHEMATICAL JOURNAL 175 59 - 74 Sep, 2004 Peer-reviewed
A generalization of tight closure and multiplier ideals

N Hara, K Yoshida

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 355(8) 3143 - 3174 2003 Peer-reviewed
F-regular and F-pure rings vs. log terminal and log canonical singularities

N Hara, KI Watanabe

JOURNAL OF ALGEBRAIC GEOMETRY 11(2) 363 - 392 Apr, 2002 Peer-reviewed
F-rationality of Rees algebras

Nobuo Hara, Kei-ichi Watanabe, Ken-ichi Yoshida

J. Algebra 247 153 - 190 2002 Peer-reviewed
Rees algebras of F-regular type

N Hara, K Watanabe, K Yoshida

JOURNAL OF ALGEBRA 247(1) 191 - 218 Jan, 2002 Peer-reviewed
Kawachi's invariant for fat points

N Hara

JOURNAL OF PURE AND APPLIED ALGEBRA 165(2) 201 - 211 Dec, 2001 Peer-reviewed
Geometric interpretation of tight closure and test ideals

N Hara

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 353(5) 1885 - 1906 2001 Peer-reviewed
The strong test ideal

Nobuo Hara, Karen E. Smith

Illinois J. Math. 45(3) 949 - 964 2001 Peer-reviewed
A characteristic p proof of Wahl's vanishing theorem for rational surface singularities

N Hara

ARCHIV DER MATHEMATIK 73(4) 256 - 261 Oct, 1999 Peer-reviewed
A characterization of rational singularities in terms of injectivity of Frobenius maps

N Hara

AMERICAN JOURNAL OF MATHEMATICS 120(5) 981 - 996 Oct, 1998 Peer-reviewed
Classification of two-dimensional F-regular and F-pure singularities

N Hara

ADVANCES IN MATHEMATICS 133(1) 33 - 53 Jan, 1998 Peer-reviewed
The injectivity of Frobenius acting on cohomology and local cohomology modules

N Hara, K Watanabe

MANUSCRIPTA MATHEMATICA 90(3) 301 - 315 Jul, 1996 Peer-reviewed
A characterization of rational singularities in terms of injectivity of Frobenius maps

Nobuo Hara

964 138 - 144 1996
F-REGULARITY AND F-PURITY OF GRADED RINGS

N HARA

JOURNAL OF ALGEBRA 172(3) 804 - 818 Mar, 1995 Peer-reviewed
F-injectivity in negative degree and tight closure in graded complete intersection rings

Nobuo Hara

C. R. Math. Rep. Acad. Sci. Canada 17(6) 247 - 252 1995 Peer-reviewed

Presentations

Frobenius summands on a quintic del Pezzo surface in positive characteristic

Nov 11, 2019 Invited
Frobenius summands on a quintic del Pezzo surface in positive characteristic

Nov 3, 2019 Invited
Self-dual Frobenius summands on a quintic del Pezzo surface

Nobuo Hara

OIST/RIMS Workshop on the problem of Resolution of Singularities and its Vicinity Jun 12, 2019 Invited
On the Frobenius summands of graded rings

Nobuo Hara

Sep 6, 2018 Invited
The finite F-representation type of surface singularities via orbifold curves

Nobuo Hara

Jan 7, 2018 Invited
Frobenius push-forwards on weighted projective lines and the FFRT property of surface singularities

Nobuo Hara

Mar 6, 2017 Invited
A few remarks on Frobenius summands on rational surfaces

Nobuo Hara

Younger Generation in Algebraic Geometry and Complex Geometry Jan 14, 2016 Invited
A few remarks on Frobenius summands on rational surfaces

Nobuo Hara

Dec 15, 2015 Invited

Professional Memberships

THE MATHEMATICAL SOCIETY OF JAPAN

Research Projects

大域的F正則性，ファノ多様体とフロベニウス直像の有限性

日本学術振興会科学研究費

原伸生
正標数の代数多様体と特異点のフロベニウス直像の構造に関する研究

日本学術振興会科学研究費

原伸生
代数幾何学における純非分離射の諸相

日本学術振興会科学研究費

原伸生
環論的不変量への代数幾何的アプローチ

日本学術振興会科学研究費

原伸生
密着閉包とF-特異点の代数幾何への応用

日本学術振興会科学研究費

原伸生
可換環論における代数幾何学の方法

日本学術振興会科学研究費

原伸生
正標数の手法の特異点論と消滅定理への応用

日本学術振興会科学研究費

原伸生

Profile Information

Research Interests

Research Areas

Research History

Papers

Presentations

Professional Memberships

Research Projects

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