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en: Milnor K-theory, F-isocrystals and syntomic regulators

en: We introduce a category of filtered F-isocrystals and construct a symbol map from Milnor K-theory to the group of 1-extensions of filtered F-isocrystals. We show that our symbol map is compatible with the syntomic symbol map to the log syntomic cohomology by Kato and Tsuji. These are fundamental materials in our computations of syntomic regulators which we work in other papers.

en: Journal of the Institute of Mathematics of Jussieu


en: Generalized hypergeometric arithemtic D-modules under a p-adic non-Liouvilleness condition

en: Proceedings of the American Mathematical Society


en: p-adic generalized hypergeometric functions from the viewpoint of arithmetic D-modules

en: The American Journal of Mathematics

ja: The American Journal of Mathematics


en: Logarithmic exact crystalline Poincare lemma of higher level modulo p

en: Journal of Algebra

ja: Journal of Algebra


en: Monomial deformations of certain hypersurfaces and two hypergeometric functions

en: International Journal of Number Theory

ja: International Journal of Number Theory


en: Finiteness of crystalline cohomology of higher level

en: Annales de l'Institut Fourier

ja: Annales de l'Institut Fourier


en: An exponential sum and higher-codimensional subvarieties of projective spaces over finite field

en: Hiroshima Mathematical Journal

ja: Hiroshima Mathematical Journal