Tokushima University · Unclassified · 准教授

Research keywordsp-adic D-modules・crystalline cohomology・hypergeometric equations・F-isocrystals・syntomic regulators・logarithmic crystalline cohomology・finite-field hypersurfaces

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• Milnor K-theory, F-isocrystals and syntomic regulators
• Logarithmic exact crystalline Poincare lemma of higher level modulo p
• Generalized hypergeometric arithemtic D-modules under a p-adic non-Liouvilleness condition
• An exponential sum and higher-codimensional subvarieties of projective spaces over finite fields

• 超幾何函数の数論幾何学的理論の発展
• 数論的非線型微分方程式とそのフロベニウス構造

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