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arXiv:math/0502222 [math.NT]AbstractReferencesReviewsResources

Surjectivity of $p$-adic regulator on $K_2$ of Tate curves

Masanori Asakura

Published 2005-02-10, updated 2005-05-09Version 3

I prove the surjectivity of the $p$-adic regulator from Quillen's $K_2$ of Tate curve to the $p$-adic etale cohomology group when the base field is contained in a cyclotomic extension of $Q_p$. This implies the finiteness of torsion part of $K_1$ of Tate curves thanks to Suslin's exact sequence.

Categories: math.NT, math.AG
Subjects: 19F27
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