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.
Pareschi, G., Salvati Manni, R. (2021). 2-torsion points on theta divisors. INTERNATIONAL MATHEMATICS RESEARCH NOTICES(19), 14616-14628 [10.1093/imrn/rnz282].
2-torsion points on theta divisors
Pareschi G.;
2021-10-01
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.File in questo prodotto:
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