On the Brauer-Manin obstruction for zero-cycles on curves
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We wish to give a short elementary proof of S. Saito's result that the Brauer-Manin obstruction for zero-cycles of degree 1 is the only one for curves, supposing the finiteness of the Tate-Shafarevich-group of the Jacobian variety. In fact we show that we only need a conjecturally finite part of the Brauer-group for this obstruction to be the only one. We also comment on the situation in higher dimensions
Cite
@article{arxiv.math/0602355,
title = {On the Brauer-Manin obstruction for zero-cycles on curves},
author = {Dennis Eriksson and Victor Scharaschkin},
journal= {arXiv preprint arXiv:math/0602355},
year = {2007}
}
Comments
12 pages