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

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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
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
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