We give a bound on the number of points of order two on the theta divisor of a principally polarized abelian variety A. When A is the Jacobian of a curve C the result can be applied in estimating the number of effective square roots of a fixed line bundle on C.
机构:
Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, ItalyUniv Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, Italy
Marcucci, Valeria Ornella
Pirola, Gian Pietro
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机构:
Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, ItalyUniv Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, Italy