11 citations · 39 across the 11 of their papers we have counts for
11 papers
Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces
Kanetomo Sato
In this paper, we give an approach to the zeta values of a (proper regular) arithmetic scheme X at the integers r>=d:=dim(X), using étale cohomology of X with Q_p(r) and Z_p(r)-coe…
On p-adic vanishing cycles of log smooth families
Shuji Saito, Kanetomo Sato
In this paper, we will show that the sheaf of p-adic vanishing cycles of a log smooth family over a DVR of mixed characteristic is generated by Milnor symboles. A key ingredient is…
Chern class and Riemann-Roch theorem for cohomology theory without homotopy invariance
Masanori Asakura, Kanetomo Sato
In this paper, we formulate axioms of certain graded cohomology theory for which Chern class maps from higher K-theory are defined, following the method of Gillet [Gi1]. We will no…
Cycle classes for p-adic étale Tate twists and the image of p-adic regulators
Kanetomo Sato
In this paper, we construct Chern class maps and cycle class maps with values in p-adic étale Tate twists [S2]. We also relate the p-adic étale Tate twists with the finite part of…
Étale duality for constructible sheaves on arithmetic schemes
Uwe Jannsen, Shuji Saito, Kanetomo Sato
In this note we relate three topics for arithmetic schemes: a general duality for étale constructible torsion sheaves, an étale homology theory, and a Gersten-Bloch-Ogus-Kato compl…
Zero-cycles on varieties over p-adic fields and Brauer groups
Shuji Saito, Kanetomo Sato
In this paper, we study the Brauer-Manin pairing of smooth proper varieties over local fields, and determine the -adic part of the kernel of one side. We also compute the …