4 citations · 7 across the 4 of their papers we have counts for
4 papers
Milnor K-theory, F-isocrystals and Syntomic Regulators
Masanori Asakura, Kazuaki Miyatani
We introduce a category of filtered F-isocrystals and construct a symbol maps on Milnor K-theory which is compatible with the syntomic symbol maps to the log syntomic cohomology. T…
Generalized hypergeometric arithmetic D-modules under a p-adic non-Liouvilleness condition
Kazuaki Miyatani
We prove that the arithmetic -modules associated with the -adic generalized hypergeometric differential operators, under a -adic non-Liouvilleness condition on p…
F-isocrystal and syntomic regulators via hypergeometric functions
Masanori Asakura, Kazuaki Miyatani
We give an explicit description of a syntomic regulator of a certain class of fibrations which we call hypergeometric fibrations. The description involves hypergeometric functions.
p-adic Generalized Hypergeometric Equations from the Viewpoint of Arithmetic D-modules
Kazuaki Miyatani
We study the -adic (generalized) hypergeometric equations by using the theory of multiplicative convolution of arithmetic -modules. As a result, we prove that the h…