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Induction formula for the Artin conductors of mod Galois representations
Author(s):
Yuichiro
Taguchi
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2865-2869.
MSC (2000):
Primary 11S15
Posted:
March 15, 2002
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Abstract:
A formula is given to describe how the Artin conductor of a mod Galois representation behaves with respect to induction of the representation.
References:
-
- 1.
- H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press, 1956. MR 17:1040e
- 2.
- H. Moon, Finiteness results on certain mod
Galois representations, J. Number Theory 84 (2000), 156-165. MR 2001g:11082b - 3.
- H. Moon, The number of monomial mod
Galois representations with bounded conductor, to appear in Tôhoku Math. J. - 4.
- H. Nagao and Y. Tsushima, Representations of Finite Groups, Academic Press, 1988. MR 90h:20008
- 5.
- M. Raynaud, Caractéristique d'Euler-Poincaré d'un faisceau et cohomologie des variétés abéliennes, Sém. Bourbaki, 1964/65, Exp. 286. CMP 98:09
- 6.
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éd., Hermann, Paris, 1980. - 7.
- J.-P. Serre, Représentations Linéaires des Groupes Finis, Hermann, Paris, 1971. MR 50:4718
- 8.
- J.-P. Serre, Sur les représentations modulaires de degré 2 de
, Duke Math. J. 54 (1987), 179-230. MR 88g:11022 - 9.
- Y. Taguchi, On Artin conductors of mod
Galois representations, unpublished manuscript.
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Additional Information:
Yuichiro
Taguchi
Affiliation:
Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan
Email:
taguchi@math.kyushu-u.ac.jp
DOI:
10.1090/S0002-9939-02-06524-3
PII:
S 0002-9939(02)06524-3
Received by editor(s):
May 30, 2001
Posted:
March 15, 2002
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2002,
American Mathematical Society
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