Outputs (2)

Exterior products of zero-cycles (2006)
Journal Article
Kerr, M. (2006). Exterior products of zero-cycles. Journal für die reine und angewandte Mathematik, 600, 1-23. https://doi.org/10.1515/crelle.2006.084

We study the exterior product CH0ðXÞnCH0ðYÞ ! CH0ðX YÞ on 0-cycles modulo rational equivalence. The main tools used are higher cycle- and Abel- Jacobi-classes developed in [L1] and [K2]. The theorem of [RS] (applied to 0-cycles) appears as a special... Read More about Exterior products of zero-cycles.

The Abel-Jacobi map for higher Chow groups (2006)
Journal Article
Kerr, M., Lewis, J., & Mueller-Stach, S. (2006). The Abel-Jacobi map for higher Chow groups. Compositio Mathematica, 142(2), 374-396. https://doi.org/10.1112/s0010437x05001867

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 this results in a formula which generalizes at the same time the clas... Read More about The Abel-Jacobi map for higher Chow groups.