An analogue of Abel's theorem
Algebraic Geometry
2007-05-23 v1
Abstract
This work makes a parallel construction for curves on threefolds to a ``current-theoretic'' proof of Abel's theorem giving the rational equivalence of divisors P and Q on a Riemann surface when Q - P is (equivalent to) zero in the Jacobian variety of the Riemann surface. The parallel construction is made for homologous ''sub-canonical'' curves P and Q on a general class of threefolds. If P and Q are algebraically equivalent and Q - P is zero in the (intermediate) Jacobian of a threefold, the construction ''almost'' gives rational equivalence.
Cite
@article{arxiv.math/0211282,
title = {An analogue of Abel's theorem},
author = {Herbert Clemens},
journal= {arXiv preprint arXiv:math/0211282},
year = {2007}
}
Comments
18 pages, latex2e file