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J-GLOBAL ID：200901096877687754 Update date: Feb. 01, 2024

Akira Ohbuchi

オオブチアキラ | Akira Ohbuchi

Affiliation and department：
Homepage URL (1)： http://www-math.ias.tokushima-u.ac.jp/~ohbuchi/

Research field (1)： Algebra

Research keywords (6)： Jacobian variety , Abelian variety , special linear system , Brill-N?ther theory , algebraic curve theory , 代数幾何学

Research theme for competitive and other funds (36)：

2015 - 2020 代数曲線の自己同型群と射影モデル
2015 - 2018 Research on Hurwitz's problem and K3 surfaces through double covers of curves and symmetric numerical semigroups
2014 - 2018 Development and application of Galois point theory of projective varieties
2014 - 2017 Special linear systems and Weierstrass points on compact Riemann surfaces
2012 - 2017 Studies of fibred complex surfaces from diversified perspectives

2013 - 2016 Study on function fields of algebraic hypersurfaces focusing on projections, - for an evolution of Galois point theory -

2012 - 2015 Hurwitz' problem through double covers of curves and curves on surfaces

2012 - 2015 Linear Systems on Algebraic Curves and its Applications

2011 - 2014 Studies on special linear series and Weierstrass points on compact Riemann surfaces

2009 - 2012 Hurwitz' problem on Weierstrass points on algebraic curves

2009 - 2012 Linear Systems and Projective Models on Algebraic Curves

2007 - 2010 Special linear systems on compact Riemann surfaces

2007 - 2009 Linear Systems on Algebraic Curves and its Applications

2005 - 2007 Special linear systems on Riemann surfaces

2005 - 2007 Research on coverings of curves and toric varieties through Weierstrass points

2005 - 2007 Algebraic Curves and its Applications

2005 - 2007 Study on Galois embeddings of algebraic surfaces

2003 - 2005 Special linear systems on compact Riemann surfaces

2003 - 2005 Algebraic curves through commutative semigroups and its application to toric varieties

2003 - 2005 Special Linear System on an Algebraic Curve and its Application

2003 - 2005 Research on space curve and its Galois line

2001 - 2003 Theory of algebraic curves with application toward the coding theory

2001 - 2003 Special Linear Systems on Algebraic Curves

2001 - 2003 Research on the structures of hypersurfaces and their function fields

2000 - 2002 Meromorphic functions on compact Riemann surfaces

1999 - 2001 Special Linear Linear Systems on Algebraic Curves

1998 - 2000 Study of function fields with particular properties, and its application to coding theory

1998 - 2000 Meromorphic functions on Riemann surfaces, Weierstrass points

1997 - 1999 Study od Coding-Theory

1995 - 1996 類数問題とHomology代数的構造の研究

1994 - 1995 アーベル多様体の射影モデルの研究

1993 - 1994 正標数体上のTangencyとDuality

1994 - 1994 On the Luroth semigroup of smooth Plane curves

1992 - 1993 有限群のコホモロジー論の研究

1990 - 1991 正標数体上の射影多様体のTangencyとDuality

代数曲線論

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Papers (41)：

Takeshi Harui, Kei Miura, Akira Ohbuchi. Smooth plane curves with outer Galois points whose reduced automorphism group is $A_{5}. Proceedings of the Japan Academy, Series A, Mathematical Sciences. 2022. 98. 8
Takeshi Harui, Kei Miura, Akira Ohbuchi. Automorphism group of plane curve computed by Galois points, II. Proceedings of the Japan Academy Series A: Mathematical Sciences. 2018. 94. 6. 59-63
Akira Ohbuchi, Jiryo Komeda. \gamma-Hyperelliptic Weierstrass Semigroups of Genus 6\gamma + 1 and 6\gamma. Bulletin of the Brazilian Mathematical Society. 2017. Vol.48. No.2. 209-218
Kei Miura, Akira Ohbuchi. Automorphism group of plane curve computed by Galois points. Beitrage zur Algebra und Geometrie. 2015. 56. 2. 695-702
Akira Ohbuchi, Jiryo Komeda. The Weierstrass Semigroups on Double Cver of genus Two Curves. Tukuba Journal of Mathematics. 2015. Vol.38. No.2. 201-206

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MISC (5)：

Komeda Jiryo, Ohbuchi Akira. On double coverings of a pointed non-singular curve with any Weierstrass semigroup. Tsukuba journal of mathematics. 2007. 31. 1. 205-215
Akira Ohbuchi. 平面代数曲線. 数学セミナー. 2004. 43. No.7. 30-35
Ohbuchi Akira. On Some Numerical Relations of tetragonal Linear Systems. Journal of mathematics, Tokushima University. 1999. 32. 15-18
Ohbuchi Akira. On Normal Generation of a Line Bundle on an Algebraic Curve (Free resolution of defining ideals of projective varieties). RIMS Kokyuroku. 1999. 1078. 156-166
Ohbuchi Akira. On the Construction of a Special Divisor of Some Special Curve. Journal of mathematics, Tokushima University. 1996. 29. 1-7

Books (2)：

Proceedings of the Symposium on Algebraic Geometry in East Asia
World Scientific 2003
よりよい成績評価の仕方ハンドブック
Center for University Extension 2002

Lectures and oral presentations (16)：

Torres の定理の拡張について
(2015)
Amplitude modulated multiplexed flow analysis for simultaneous determination of multiple analytes. Determination of ferrous and ferric ions
(Flow Analysis Xll 2012)
クリフォード指数について
(研究集会「代数学シンポジューム」報告集 2012)
平面代数曲線の自己同型について
(研究集会「代数曲線論」報告集 2012)
二重被覆である曲線のワイアシュトラス点
(2010)

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Education (4)：

1988 - Doctor of Science: Tsukuba University
1987 - Graduated without doctoral degree, Tsukuba University
1982 - Master of Science: Tsukuba University
1980 - Graduate School of Mathematics, Tsukuba University

Professional career (1)：

理学博士 (筑波大学)

Work history (11)：

2013/04 - Part-time Lecturer, Chuo University
2010/04/01 - Part-time Lecturer, Tokushima Prefectural-nursing school
2010/04/01 - Part-time Lecturer, Tohoku University(2010.4-2011.3)
2006/04/01 - Invited Professor: Kyusyu University
2002/04/01 - Professor: Tokushima University

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Committee career (7)：

2017/04 - 2018/03/31 独立行政法人日本学術振興会特別研究員等審査会専門委員
2016/04 - 2017/03/31 独立行政法人日本学術振興会特別研究員等審査会専門委員
2011/04 - 2012/03 社団法人日本数学会出版賞推薦委員会委員長
2010/04 - 2011/03 社団法人日本数学会出版賞推薦委員
2009/04 - 2010/03 社団法人日本数学会評議員

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Awards (1)：

2006/01/17 - MIKI & Co. 康楽賞

Association Membership(s) (1)：

Mathematical Society of Japan

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