Torsion cycles on complex projective manifolds
by
Claire Voisin
Institut de Mathematiques de Jussieu
Coauthors: Christophe Soulé

We use a construction due to Kollár to construct torsion cohomology classes of any possible prime order on complex projective manifolds of fixed dimension, which are not algebraic, but become algebraic under small deformations. We also use similar degenerations to exhibit torsion cycles, non trivial modulo algebraic equivalence, and which sit in an arbitrarily large level of the Hiroshi Saito filtration on Chow groups.

Date received: March 6, 2005