A higher Albanese map for complex threefolds based on a construction by M. Green

Lorenz Schneider. "A higher Albanese map for complex threefolds based on a construction by M. Green." Fundamenta Mathematicae 186.2 (2005): 111-146. <http://eudml.org/doc/282868>.

@article{LorenzSchneider2005,
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.},
author = {Lorenz Schneider},
journal = {Fundamenta Mathematicae},
keywords = {Abel-Jacobi map; threefold; Mumford's pull-back; mixed Hodge structure; higher Jacobian},
language = {eng},
number = {2},
pages = {111-146},
title = {A higher Albanese map for complex threefolds based on a construction by M. Green},
url = {http://eudml.org/doc/282868},
volume = {186},
year = {2005},
}

TY - JOUR
AU - Lorenz Schneider
TI - A higher Albanese map for complex threefolds based on a construction by M. Green
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 2
SP - 111
EP - 146
AB - 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.
LA - eng
KW - Abel-Jacobi map; threefold; Mumford's pull-back; mixed Hodge structure; higher Jacobian
UR - http://eudml.org/doc/282868
ER -