Mathematics – Algebraic Geometry
Scientific paper
2009-09-29
Mathematics
Algebraic Geometry
Scientific paper
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 comparison of Goncharov's regulator to the construction given by Burgos and Feliu. As a consequence, we show that the higher arithmetic Chow groups defined by Goncharov agree, for all projective arithmetic varieties over an arithmetic field, with the ones defined by Burgos and Feliu.
Burgos Gil José Ignacio
Feliu Elisenda
Takeda Yukiharu
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