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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).
math.AG2002★ 4 cited
Indecomposable K_1 and the Hodge-D-conjecture for K3 and Abelian Surfaces
Xi Chen, James D. Lewis
We prove the Hodge-D-conjecture for general K3 and Abelian surfaces. Some consequences of this result, e.g., on the levels of higher Chow groups of products of elliptic curves, are…