arXiv subjects

Wen-Chen Chi

Publications and source records attributed to Wen-Chen Chi.

2 recordsLinked to original sources

arXiv2007

On the m-torsion Subgroup of the Brauer Group of a Global Field

In this note, we give a short proof of the existence of certain abelian extension over a given global field $K$. This result implies that for every positive integer $m$, there exists an abelian extension $L/K$ of exponent $m$ such that the $m$-torsion subgroup of $\Br(K)$ equals $\Br(L/K)$.

math.NT↗

arXiv1999

Kummer theory of division points over Drinfeld modules of rank one

In this paper a Kummer theory of division points over rank one Drinfeld A=Fq[T]-modules defined over global function fields was given. The results are in complete analogy with the classical Kummer theory of division points over the multiplicative algebraic group Gm defined over number fields.

math.NT↗