✦ LIBER ✦

An Example of Algebraic Cycles with Nontrivial Abel–Jacobi Images

✍ Scribed by Ken-ichiro Kimura

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 141 KB
Volume: 222
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7976

No coin nor oath required. For personal study only.

✦ Synopsis

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.