English

2-torsion points on theta divisors

Algebraic Geometry 2021-10-26 v2

Abstract

In this note we prove a sharp bound for the number of 2-torsion points on a theta divisor and show that this is achieved only in the case of products of elliptic curves. This settles in the affirmative a conjecture of Marcucci and Pirola.

Cite

@article{arxiv.1907.07084,
  title  = {2-torsion points on theta divisors},
  author = {Giuseppe Pareschi and Riccardo Salvati Manni},
  journal= {arXiv preprint arXiv:1907.07084},
  year   = {2021}
}

Comments

9 pages. Lemma 3.1 added. To appear on IMRN

R2 v1 2026-06-23T10:22:20.435Z