Incidence and Abel-Jacobi equivalence

Details Incidence and Abel-Jacobi equivalence Incidence and Abel-Jacobi equivalence

2011-09-13

arxiv.org/abs/1109.2932v5

Mathematics

Algebraic Geometry

8 pages This manuscript has been withdrawn because equation (10) is insufficient to conclude the assertion of the Main Theorem

Scientific paper

For an algebraic (n-1)-cycle Z on a complex projective (2n-1)-manifold X, P. Griffiths conjectured that, if Z is algebraically equivalent to zero and if the incidence divisor of Z on every family of (n-1)-cycles is principal, then the Abel-Jacobi image of Z in the intermediate Jacobian J(X) of X is a point of finite order. Using a recent generalization of the classical height pairing, we give a proof of this conjecture. This version corrects a mistake in a previous version. References added.

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