Generalized Abel-Jacobi map on Lawson homology

Details Generalized Abel-Jacobi map on Lawson homology Generalized Abel-Jacobi map on Lawson homology

2006-08-11

arxiv.org/abs/math/0608294v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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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