English

Points of order two on theta divisors

Algebraic Geometry 2012-02-08 v1

Abstract

We give a bound on the number of points of order two on the theta divisor of a principally polarized abelian variety A. When A is the Jacobian of a curve C the result can be applied in estimating the number of effective square roots of a fixed line bundle on C.

Keywords

Cite

@article{arxiv.1202.1517,
  title  = {Points of order two on theta divisors},
  author = {Valeria Ornella Marcucci and Gian Pietro Pirola},
  journal= {arXiv preprint arXiv:1202.1517},
  year   = {2012}
}

Comments

4 pages