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

Volume 186 / 2005

Lorenz Schneider Fundamenta Mathematicae 186 (2005), 111-146 MSC: 14C15, 14C25, 14C30. DOI: 10.4064/fm186-2-2


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.


  • Lorenz SchneiderMathematisches Institut der Universität Erlangen
    Bismarckstrasse 1/2
    91054 Erlangen, Germany

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