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- W1977482999 abstract "Bloch [1] defined the formal completion of the group of 0-cycles modulo rational equivalence on a surface X and studied it in case X is defined over an algebraic number field. In this paper we investigate in detail the situation for ground fields which are extensions of Q of finite transcendence degree. We look in particular at the kernel of the formal analogue of the Abel-Jacobi mapping from Chow group to Albanese variety. It turns out that the influence of the derivations of the ground field k can be described completely in terms of the Gauss-Manin connection on H DR 2 ( X / k )." @default.
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- W1977482999 date "1983-01-01" @default.
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- W1977482999 title "On the formal completion of the chow group CH2(X) for a smooth projective surface in characteristic 0" @default.
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- W1977482999 doi "https://doi.org/10.1016/1385-7258(83)90070-7" @default.
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