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On the arithmetic of hyperelliptic curves: Hyperelliptic curves with a rational Weierstrass point (Bowen Lecture) October 10, 2012 (04:00 PM PDT - 05:00 PM PDT)
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Location: UC Berkeley
Speaker(s) Benedict Gross
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Series Title: On the arithmetic of hyperelliptic curves

Wednesday October 10th
Lecture 2: Hyperelliptic curves with a rational Weierstrass point
105 North Gate Hall

Abstract:
I will review the equations that define these curves, and describe the subgroup of 2-torsion in their Jacobians. After a review of the 2-descent, I will state the results which Bhargava and I have obtained on the average value of the order of the 2-Selmer group, and give some corollaries on the rational points of the curve and its Jacobian.

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