Noether-lefschetz for K 1 of a Surface, Revisited

Abstract

Let Z ⊂ P be a general surface of degree d ≥ 5. Using a Lefschetz pencil argument, we give a elementary new proof of the vanishing of a regulator on K1(Z). 1. Statement of result Let Z be a smooth quasiprojective variety over C, and for given nonnegative integers k,m, let CH(Z,m) be the higher Chow group as introduced in [Blo1]. In [Blo2], Bloch constructs… (More)

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