2000/10/03 by Jishnu Biswas, Gautham Dayal, Biswas, Jishnu +5
Mathematics · #14C30 (Primary) 14F43 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C30 #msc:14F43
paper · pdf · doi:10.48550/arxiv.math/0010029
amslatex (amsart 1997/03/26 v1.2r); 8 pages
arxiv created 2000/10/03 · arxiv updated 2009/11/30
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.