Surjectivity of p-adic regulator on K2 of Tate curves
Abstract
I prove the surjectivity of the p-adic regulator from Quillen's K2 of Tate curve to the p-adic etale cohomology group when the base field is contained in a cyclotomic extension of Qp. This implies the finiteness of torsion part of K1 of Tate curves thanks to Suslin's exact sequence.
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