Geometrization of continuous characters of Z(p)(x)

Cunningham, Clifton and Kamgarpour, Masoud (2013) Geometrization of continuous characters of Z(p)(x). Pacific Journal of Mathematics, 261 1: 95-99. doi:10.2140/pjm.2013.261.95

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads

Author Cunningham, Clifton
Kamgarpour, Masoud
Title Geometrization of continuous characters of Z(p)(x)
Formatted title
Geometrization of continuous characters of ℤX P
Journal name Pacific Journal of Mathematics   Check publisher's open access policy
ISSN 0030-8730
Publication date 2013-01-01
Year available 2013
Sub-type Article (original research)
DOI 10.2140/pjm.2013.261.95
Open Access Status Not Open Access
Volume 261
Issue 1
Start page 95
End page 99
Total pages 5
Place of publication Berkeley, CA, United States
Publisher University of California, Berkeley, Department of Mathematics
Collection year 2014
Language eng
Formatted abstract
We define the p-adic trace of certain rank-one local systems on the multiplicative group over p-adic numbers, using Sekiguchi and Suwa's unification of Kummer and Artin-Schreier-Witt theories. Our main observation is that, for every nonnegative integer n, the p-adic trace defines an isomorphism of abelian groups between local systems whose order divides. (p - 1)pn pn and l-adic characters of the multiplicative group of p-adic integers of depth less than or equal to n.
Keyword Geometrization
Character sheaves
Continuous multiplicative characters of p-adic fields
P-adic trace function
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 0 times in Thomson Reuters Web of Science Article
Scopus Citation Count Cited 0 times in Scopus Article
Google Scholar Search Google Scholar
Created: Sun, 12 May 2013, 10:35:09 EST by System User on behalf of School of Mathematics & Physics