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Division by 2 on odd degree hyperelliptic curves and their jacobians

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Yuri Zarhin
Penn State/MPIM
Tue, 2018-06-05 14:00 - 15:00
MPIM Lecture Hall

Let C be a an odd degree hyperelliptic curve  embedded in its jacobian J in such a way that the infinite point goes to the identity element of J.
We give explicit formulas (in terms of Mumford for representations of halves of points of C in J. We also discuss torsion points of small order on C.

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