Points of order two on theta divisors

Details Points of order two on theta divisors Points of order two on theta divisors

2012-02-07

arxiv.org/abs/1202.1517v1

Mathematics

Algebraic Geometry

4 pages

Scientific paper

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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