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math.AG2004★ 1 cited
The Abel-Jacobi map for higher Chow groups
Matt Kerr, James Lewis, Stefan Müller-Stach
We construct a map between Bloch's higher Chow groups and Deligne homology for smooth, complex quasiprojective varieties on the level of complexes. For complex projective varieties…
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.AG2000
Real regulators on Milnor complexes
James D. Lewis
We give an explicit description of a real regulator from the cohomology of a Milnor complex associated to a projective algebraic manifold, to a certain quotient of Deligne cohomolo…