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most citedThe Abel-Jacobi map for higher Chow groups

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math.AG2002

Noether-Lefschetz for K_1 of a Surface, Revisited

Xi Chen, James D. Lewis

Let Z be a general surface in P^3 of degree at least 5. Using a Lefschetz pencil argument, we give an elementary new proof of the vanishing of a regulator on K_1(Z).