2 citations · 2 across the 5 of their papers we have counts for
5 papers
Higher arithmetic Chern character
Yuichiro Takeda
A map from the higher arithmetic -group defined by the author to the higher arithmetic Chow group constructed by Burgos and Feliu is given. It is a higher extension of the arith…
On Goncharov's regulator and higher arithmetic Chow groups
J. I. Burgos Gil, E. Feliu, Y. Takeda
In this paper we show that the regulator defined by Goncharov from higher algebraic Chow groups to Deligne-Beilinson cohomology agrees with Beilinson's regulator. We give a direct…
Higher arithmetic K-theory
Yuichiro Takeda
In this paper a concrete definition of higher K-theory in Arakelov geometry is given. The K-thoery defined in this paper is a higher extension of the arithmetic K_0 group of an ari…
A relation between standard conjectures and their arithmetic analogues
Yuichiro Takeda
In this paper we resolve the arithmetic analogues of standard conjectures for an arithmetic variety, which are proposed by Gillet and Soule, into original standard conjectures and…
Space of conformal blocks in 4D WZW theory
Tohru Nakashima, Yuichiro Takeda
We propose an algebro-geometric definition of the space of conformal blocks in the four dimensional Wess-Zumino-Witten theory introduced by Losev.et al..