A higher Albanese map for complex threefolds based on a construction by M. Green
Lorenz Schneider
Fundamenta Mathematicae, Tome 185 (2005), p. 111-146 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:282868 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-2,
     author = {Lorenz Schneider},
     title = {A higher Albanese map for complex threefolds based on a construction by M. Green},
     journal = {Fundamenta Mathematicae},
     volume = {185},
     year = {2005},
     pages = {111-146},
     zbl = {1084.14006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-2}
}

Lorenz Schneider. A higher Albanese map for complex threefolds based on a construction by M. Green. Fundamenta Mathematicae, Tome 185 (2005) pp. 111-146. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-2/