An example of algebraic cycles with nontrivial Abel-Jacobi images

[摘要] In this paper, we will study a family of quintic hypersurfaces and its Abel-Jacobi images. We will construct codimension 2 algebraic cycles on the blowing-up of certain dimension 3 quintic hypersurfaces defined over number fields, and show that they are homologically trivial but have nontrivial images under the 3-adic Abel-Jacobi map. (C) 1999 Academic Press.

[发布日期] 1999-12-01