|Title:||A note on the geometricity of open homomorphisms between the absolute Galois groups of p-adic local fields|
|Author's alias:||星, 裕一郎|
|Journal title:||Kodai Mathematical Journal|
|Abstract:||In the present paper, we prove that an open continuous homomorphism between the absolute Galois groups of p-adic local fields is geometric [i.e., roughly speaking, arises from an embedding of fields] if and only if the homomorphism is HT-preserving [i.e., roughly speaking, satisfies the condition that the pull-back by the homomorphism of every Hodge-Tate representation is Hodge-Tate].|
|Rights:||2013 © Tokyo Institute of Technology, Department of Mathematics|
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|Appears in Collections:||Journal Articles|
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