We give a bound on the number of points of order two on the theta divisor of a principally polarized abelian variety . When is the Jacobian of a curve the result can be applied in estimating the number of effective square roots of a fixed line bundle on .
Cite this article
Valeria Ornella Marcucci, Gian Pietro Pirola, Points of order two on theta divisors. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 23 (2012), no. 3, pp. 319–323DOI 10.4171/RLM/630