School of Mathematics Colloquium
Rational torsion points of abelian varieties over a large extension of a local field
by Prof. Yuichiro Taguchi (Kyoto University, Japan)
Thursday, November 1, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
Description |
We extend the following theorem of H. Imai in several ways: If A is an abelian variety with potentially good reduction over a finite extension K of Q_p, then it has only finitely many rational torsion points over the maximal p-cyclotomic extension of K. In particular, we prove the finiteness over K(K^{1/p^\infty}). It has applications in Iwasawa theory. |