关于Goss
On a question of Goss
摘要:
本文回答了D. Goss在[Applications of non-Archimedean integration to the $L$ -series of $τ$ -sheaves,{ \em J.数论,} 110(2005),no.1,83- 113]中通过证明特征$p>0$的局部紧域的1-单位上的局部解析自同态群同构于$p$ -adic整数。
英文摘要:
In this note we answer the question raised by D. Goss in [Applications of non-Archimedean integration to the $L$-series of $τ$-sheaves, {\em J. Number Theory,} 110 (2005), no. 1, 83--113] by proving that the group of locally analytic endomorphisms on the 1-units of a locally compact field of characteristic $p>0$ is isomorphic to the $p$-adic integers.
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