Kindai University · Faculty of Science and Engineering

Research keywords計算代数解析・特異摂動・孤立特異点・多重ゼータ値・変わり点・代数的局所コホモロジー類・代数的局所コホモロジー・ホロノミック系

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• Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities
• A method for constructing holonomic systems for algebraic local cohomology classes with support on a zero dimensional variety
• Annihilating ideals for an algebraic local cohomology class
• Interpolant of truncated multiple zeta functions

• インスタントン解の漸近解析
• 計算代数解析に基づく弧立特異点の不変量とb-関数の研究
• 特異多様体上の留数理論とその応用
• 微分方程式系の完全WKB解析

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