JournalsrlmVol. 23, No. 3pp. 319–323

Points of order two on theta divisors

  • Valeria Ornella Marcucci

    Università di Pavia, Italy
  • Gian Pietro Pirola

    Università di Pavia, Italy
Points of order two on theta divisors cover

Abstract

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

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. 319–323

DOI 10.4171/RLM/630