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徳島大学 ⟩ 大学院社会産業理工学研究部 ⟩ 理工学域 ⟩ 数理科学系 ⟩ 数理解析分野 ⟩ | (researchmapへのインポート用ファイル) [PDF解説] [researchmapへの自動反映について] |
准教授 : 宮谷 和尭 |
○ | 数学 (Mathematics) |
○ | 数論幾何 |
1. | Masanori Asakura and Kazuaki Miyatani : Milnor K-theory, F-isocrystals and syntomic regulators, Journal of the Institute of Mathematics of Jussieu, Vol.23, No.3, 1357-1415, 2024. (DOI: 10.1017/S1474748023000208, CiNii: 1050862256942669312, Elsevier: Scopus) |
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2. | Kazuaki Miyatani : Generalized hypergeometric arithemtic D-modules under a p-adic non-Liouvilleness condition, Proceedings of the American Mathematical Society, Vol.150, 3215-3229, 2022. (DOI: 10.1090/proc/15814) |
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3. | Kazuaki Miyatani : p-adic generalized hypergeometric functions from the viewpoint of arithmetic D-modules, The American Journal of Mathematics, Vol.142, No.4, 1017-1050, 2020. (DOI: 10.1353/ajm.2020.0030) |
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4. | Kazuaki Miyatani : Logarithmic exact crystalline Poincare lemma of higher level modulo p, Journal of Algebra, Vol.451, No.1, 85-114, 2016. (DOI: 10.1016/j.jalgebra.2015.06.012) |
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5. | Kazuaki Miyatani : Monomial deformations of certain hypersurfaces and two hypergeometric functions, International Journal of Number Theory, Vol.15, No.8, 2405-2430, 2015. (DOI: 10.1142/S1793042115501122) |
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6. | Kazuaki Miyatani : Finiteness of crystalline cohomology of higher level, Annales de l'Institut Fourier, Vol.65, No.3, 975-1004, 2015. (徳島大学機関リポジトリ: 119334, DOI: 10.5802/aif.2949) |
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7. | Kazuaki Miyatani and Sano Makoto : An exponential sum and higher-codimensional subvarieties of projective spaces over finite field, Hiroshima Mathematical Journal, Vol.44, No.3, 327-340, 2014. (DOI: 10.32917/hmj/1419619750) |
1. | Kazuaki Miyatani : Cancellation theorem for p-adic hypergeometric sheaves, p-adic cohomolgoy and arithmetic geometry 2022, Nov. 2022. |
1. | 宮谷 和尭 : Cancellation theorem for p-adic hypergeometric D-modules, L-functions and Motives in Niseko, 2024年9月. |
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2. | 宮谷 和尭 : p-adic hypergeometric D-modules and cancellation theorem, II, 野田代数幾何学 · 数論幾何学シンポジウム, 2024年9月. |
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3. | 宮谷 和尭 : p-adic hypergeometric D-modules and cancellation theorem, I, 野田代数幾何学 · 数論幾何学シンポジウム, 2024年9月. |
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4. | 宮谷 和尭 : Cancellation theorem for p-adic hypergeometric D-modules, 数論幾何学とその周辺 - 中島幸喜先生還暦記念研究集会, 2024年5月. |