English

Generalized Abel-Jacobi map on Lawson homology

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0608294,
  title  = {Generalized Abel-Jacobi map on Lawson homology},
  author = {Wenchuan Hu},
  journal= {arXiv preprint arXiv:math/0608294},
  year   = {2007}
}

Comments

17 pages

R2 v1 2026-07-22T17:40:33.069Z