Geodesic
A higher Albanese map for complex threefolds based on a construction by M. Green
Lorenz Schneider1
1 Mathematisches Institut der Universität Erlangen Bismarckstrasse 1/2 91054 Erlangen, Germany
Fundamenta Mathematicae, Tome 186 (2005) no. 2, pp. 111-146

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm186-2-2
Keywords: construct higher abel jacobi map cycles complex threefolds prove describe mumfords pull back differential form its image infinite dimensional many cases however making certain assumption always injective

Lorenz Schneider 1

1 Mathematisches Institut der Universität Erlangen Bismarckstrasse 1/2 91054 Erlangen, Germany 
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Lorenz Schneider. A higher Albanese map for complex threefolds
 based on a construction by M. Green. Fundamenta Mathematicae, Tome 186 (2005) no. 2, pp. 111-146. doi: 10.4064/fm186-2-2

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