paper

2-torsion points on theta divisors

arXiv:1907.07084 · doi:10.1093/imrn/rnz282

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.

9 pages. Lemma 3.1 added. To appear on IMRN

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