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- W2953241862 abstract "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 defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. The degree zero group agrees with the arithmetic Chow groups of Burgos. Our new construction is shown to be a contravariant functor and is endowed with a product structure, which is commutative and associative." @default.
- W2953241862 created "2019-06-27" @default.
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- W2953241862 date "2009-07-29" @default.
- W2953241862 modified "2023-09-27" @default.
- W2953241862 title "Higher arithmetic Chow groups" @default.
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