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Tokushima University ⟩ Graduate School of Technology, Industrial and Social Sciences ⟩ Division of Science and Technology ⟩ Mathematical Science ⟩ Mathematical Methods in Sciences ⟩ (Files for researchmap) [PDF manual] [Auto-propagate to researchmap]

Research

Field of Study

○ Mathematics

Subject of Study

○ Arithmetic Geometry

Book / Paper

Academic Paper (Judged Full Paper):

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)
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)
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)
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)
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)
6. Kazuaki Miyatani :
Finiteness of crystalline cohomology of higher level,
Annales de l'Institut Fourier, Vol.65, No.3, 975-1004, 2015.
(Tokushima University Institutional Repository: 119334,   DOI: 10.5802/aif.2949)
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)

Proceeding of International Conference:

1. Kazuaki Miyatani :
Cancellation theorem for p-adic hypergeometric sheaves,
p-adic cohomolgoy and arithmetic geometry 2022, Nov. 2022.

Proceeding of Domestic Conference:

1. Kazuaki Miyatani :
Cancellation theorem for p-adic hypergeometric D-modules,
L-functions and Motives in Niseko, Sep. 2024.
2. Kazuaki Miyatani :
p-adic hypergeometric D-modules and cancellation theorem, II,
·, Sep. 2024.
3. Kazuaki Miyatani :
p-adic hypergeometric D-modules and cancellation theorem, I,
·, Sep. 2024.
4. Kazuaki Miyatani :
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, May 2024.