Torsion points on theta divisors
Algebraic Geometry
2017-06-29 v4
Abstract
Using the irreducibility of a natural irreducible representation of the theta group of an ample line bundle on an abelian variety, we derive a bound for the number of -torsion points that lie on a given theta divisor. We present also two alternate approaches to attacking the case .
Cite
@article{arxiv.1512.09296,
title = {Torsion points on theta divisors},
author = {Robert Auffarth and Giuseppe Pareschi and Gian Pietro Pirola and Riccardo Salvati Manni},
journal= {arXiv preprint arXiv:1512.09296},
year = {2017}
}
Comments
The second and fourth authors discovered that one of the methods of the main paper, along with a result of George Kempf, actually gives an optimal bound for the number of 2-torsion points on a theta divisor. This result is added as an appendix to the main paper