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arxiv: 1202.1517 · v1 · pith:NXYATPVVnew · submitted 2012-02-07 · 🧮 math.AG

Points of order two on theta divisors

classification 🧮 math.AG
keywords numberorderpointsthetaabelianappliedboundbundle
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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.

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