3 citations · 5 across the 3 of their papers we have counts for
4 papers
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 Chow groups
J. I. Burgos Gil, E. Feliu
We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups def…
Adams operations on higher arithmetic K-theory
Elisenda Feliu
We construct Adams operations on the rational higher arithmetic K-groups of a proper arithmetic variety. The definition applies to the higher arithmetic K-groups given by Takeda as…
A chain morphism for Adams operations on rational algebraic K-theory
Elisenda Feliu
For any regular noetherian scheme X and every k>0, we define a chain morphism between two chain complexes whose homology with rational coefficients is isomorphic to the algebraic K…