Higher Abel-Jacobi Maps

Details Higher Abel-Jacobi Maps Higher Abel-Jacobi Maps

2000-10-03

arxiv.org/abs/math/0010029v1

Mathematics

Algebraic Geometry

amslatex (amsart 1997/03/26 v1.2r); 8 pages

Scientific paper

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.

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