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6 papers · 2 filters
Canonical subgroups via Breuil-Kisin modules
Shin Hattori
Let p>2 be a rational prime and K/Q_p be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over O_K…
Milnor-Selberg zeta functions and zeta regularizations
Nobushige Kurokawa, Masato Wakayama, Yoshinori Yamasaki
By a similar idea for the construction of Milnor's gamma functions, we introduce "higher depth determinants" of the Laplacian on a compact Riemann surface of genus greater than one…
On the cycle map for products of elliptic curves over a -adic field
Toshiro Hiranouchi, Seiji Hirayama
We study the Chow group of -cycles on the product of elliptic curves over a -adic field. For this abelian variety, it is decided that the structure of the image of the Albane…
Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields
Shin Hattori
Let p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fractional field of the Witt ring of k. Let G and H be fin…
Combinatorial remarks on the cyclic sum formula for multiple zeta values
Shingo Saito, Tatsushi Tanaka, Noriko Wakabayashi
The multiple zeta values are generalizations of the values of the Riemann zeta function at positive integers. They are known to satisfy a number of relations, among which are the c…
The Bowman-Bradley theorem for multiple zeta-star values
Hiroki Kondo, Shingo Saito, Tatsushi Tanaka
The Bowman-Bradley theorem asserts that the multiple zeta values at the sequences obtained by inserting a fixed number of twos between 3,1,...,3,1 add up to a rational multiple of…