arXiv subjects

Jinya Nakamura

Publications and source records attributed to Jinya Nakamura.

2 recordsLinked to original sources

arXiv2000

Invitation to higher local fields, Part I, section 4: Cohomological symbol for henselian discrete valuation fields of mixed characteristic

This is a sketch of main steps of the proof of Bloch--Kato's theorem which states that the norm residue homomorphism K_q(K)/m\to H^q(K,\Bbb Z/m(q)) is an isomorphism for a henselian discrete valuation field K of characteristic 0 with residue field of positive characteristic.

math.NT↗

arXiv2000

Invitation to higher local fields, Part I, section 15: On the structure of the Milnor K-groups of complete discrete valuation fields

This work contains a list of all known results on the quotient filtration on the Milnor K-groups of a complete discrete valuation field in terms of differential modules over the residue field . Author's recent study of the case of a tamely ramified field of characteristic 0 with residue field of characteristic p by using an exponential map and a syntomic complex is explained.

math.NT↗