Surjectivity of $p$-adic regulator on $K_2$ of Tate curves
Number Theory
2009-11-11 v3 Algebraic Geometry
Abstract
I prove the surjectivity of the -adic regulator from Quillen's of Tate curve to the -adic etale cohomology group when the base field is contained in a cyclotomic extension of . This implies the finiteness of torsion part of of Tate curves thanks to Suslin's exact sequence.
Cite
@article{arxiv.math/0502222,
title = {Surjectivity of $p$-adic regulator on $K_2$ of Tate curves},
author = {Masanori Asakura},
journal= {arXiv preprint arXiv:math/0502222},
year = {2009}
}