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Generalized Abel-Jacobi map on Lawson homology

Wenchuan Hu
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Abstract

We construct an Abel-Jacobi type map on the homologically trivial part of Lawson homology groups. It generalizes the Abel-Jacobi map constructed by Griffiths. By using a result of H. Clemens, we give some examples of smooth projective manifolds with infinite generated Lawson homology groups L_pH_k(X,Q) when k>2p.

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Wenchuan Hu. 2006-08-11. Generalized Abel-Jacobi map on Lawson homology. https://arxiv.org/abs/math/0608294

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