A higher Albanese map for complex threefolds based on a construction by M. Green
Volume 186 / 2005
Fundamenta Mathematicae 186 (2005), 111-146
MSC: 14C15, 14C25, 14C30.
DOI: 10.4064/fm186-2-2
Abstract
We construct a higher Abel–Jacobi map for $0$-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.
