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J-GLOBAL ID：200901042285587967
Update date: Sep. 12, 2024
NAKASHIMA Toru
ナカシマ トオル | NAKASHIMA Toru
Affiliation and department：
Job title：
Professor
Research field (2)：
Geometry
, Algebra
Research keywords (1)：
algebraic geometry
Research theme for competitive and other funds (15)：
- 2020 - 2024 Research on the algebraic-geometric codes based on adelic vector bundles
- 2016 - 2020 Research on the algebraic-geometric codes defined from restriction of vector bundles to divisors
- 2012 - 2016 Research on the general theory of algebraic-geometric codes
- 2009 - 2011 RESEARCH ON THE ERROR-CORRECTING CODES BASED ON THE EVALUATION MAPS OF VECTOR BUNDLES
- 2006 - 2008 CONSTRUCTION OF HIGHER DIMENSIONAL ALGEBRAIC-GEOMETRIC CODES BASED ON VECTOR BUNDLES
- 2006 - 2008 Algebraic Geometry, Coding Theory
- 2005 - 2008 Hyperplane arrangements and their applications
- 2005 - 2008 An research of algebraic K-theory of arithmetic varieti
- 2003 - 2005 Study of Invariants of Calabi-Yau manifolds via Representation Theory of The Moduli of Stable Sheaves
- 2002 - 2004 Research on arrangements of hyperplane
- 2001 - 2002 Comprehensive Study of Stable Bundles on Calabi-Yau Manifolds
- 1999 - 2001 Research on arrangements of hyperplanes
- 1997 - 1999 Geometry of moduli spaces and non-abelian localization formal
- 1997 - 1999 FORMULATION OF THE FOUR DIMENSIONAL CONFORMAL FIELD THEORY BASED ON THE MODULI OF STABLE SHEAVES ON ALGEBRAIC SURFACES
- 1994 - 1994 安定ベクトル束のモジュライ空間と、代数曲面の微分構造への応用
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Papers (46)：
-
Tohru Nakashima. Seshadri constants and AG codes of vector bundles. Journal of Pure and Applied Algebra. 2024. 228
-
Tohru Nakashima. Stable vector bundles on fibered threefolds over a surface. Geometriae Dedicata. 2024. 218. 97
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Tohru Nakashima. AG codes on flag bundles over a curve. Finite Fields and Their Apllications. 2024. 95
-
Tohru Nakashima. Cohomologu bounds and Chern class inequalities for stable sheaves on a smooth projective variety. Indian Journal of Pure and Applied Mathematics. 2023. 54. 789-796
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Tohru Nakashima. Existence of Stable Reflexive ]sheaves on certain threefolds. Journal of Pure and Applied Algebra. 2019. 224. 1205-1214
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Lectures and oral presentations (4)：
-
代数幾何学と符号理論
(集中講義(九州大学))
-
AG codes from restriction of vector bundles to divisors
(AGCT15 2015)
-
Stable bundles on Calabi-Yau manifolds
(2007)
-
Parameters of relative Reed-Muller codes
(Arithmetic, Geometry and Coding Theory(C.I.R.M. Luminy) 2005)
Works (1)：
-
reviewer of Mathematical Reviews
Education (2)：
- - 1992 Kyoto University Graduate School, Division of Natural Science mathematics
- - 1986 The University of Tokyo Faculty of Science
Professional career (1)：
Work history (4)：
- 2006 - Japan Women's University Faculty of Science, Department of Mathematical and Physical Sciences
- 2005 - Tokyo Metropolitan University Faculty of Urban Liberal Arts
- 1997 - Tokyo Metropolitan University
- 1992 - Tokyo Metropolitan University Faculty of Science
Association Membership(s) (1)：
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