Higher Abel-Jacobi Maps
Algebraic Geometry
2007-05-23 v1
Abstract
This paper forms the major portion of a talk given at the International Colloquium on Arithmetic, Algebra and Geometry at TIFR, Mumbai in Jan 2000. We look at the problem of detecting cycles with trivial Abel-Jacobi invariant. M. Green proposed a Hodge-theoretic method to which C. Voisin found a counter-example. We present an easier example. We also propose another possible invariant to detect these classes using Hodge Theory. Similar methods have been proposed earlier by M. Asakura and M. Saito.
Cite
@article{arxiv.math/0010029,
title = {Higher Abel-Jacobi Maps},
author = {Jishnu Biswas and Gautham Dayal and Kapil H. Paranjape and G. V. Ravindra},
journal= {arXiv preprint arXiv:math/0010029},
year = {2007}
}
Comments
amslatex (amsart 1997/03/26 v1.2r); 8 pages