Workshops

On the rank of K2 of certain elliptic curves

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Xuejun Guo

2012-01-19
09:10:00 - 10:00:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let E be an elliptic curve defined over Z. Beilinson conjectured that the rank of K2(E;Z) is 1. There are many examples satisfying that the rank of K2(E;Z) is greater than or equal to 1. However almost all examples relied on Bloch’s method involving rational functions supported on torsion points of E. We will deal with ceratin elliptic curves without ration torsion points and prove that the rank of K2(E;Z) is also greater than or equal to 1.

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