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math.AG2009★ 2 cited
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…
math.AG2009★ 3 cited
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…