Geodesic
On families of pure slope $L$-functions
Documenta mathematica, Tome 8 (2003), pp. 1-42
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Let R be the ring of integers in a finite extension K of Qp​, let k be its residue field and let χ:π1​(X)→R×=GL1​(R) be a “geometric” rank one representation of the arithmetic fundamental group of a smooth affine k-scheme X. We show that the locally K-analytic characters κ:R×→Cp×​ are the Cp​-valued points of a K-rigid space W and that
DOI : 10.4171/dm/135
Classification : 14F30, 14G10, 14G15, 14G22 
@article{10_4171_dm_135,
     author = {Elmar Grosse-Kl\"onne},
     title = {On families of pure slope $L$-functions},
     journal = {Documenta mathematica},
     pages = {1--42},
     year = {2003},
     volume = {8},
     doi = {10.4171/dm/135},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/135/}
}
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Elmar Grosse-Klönne. On families of pure slope $L$-functions. Documenta mathematica, Tome 8 (2003), pp. 1-42. doi: 10.4171/dm/135

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