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Crystalline lifts of two-dimensional mod...

Diamond, Fred...

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Crystalline lifts of two-dimensional mod p automorphic Galois representations by Diamond, Fred ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	16-09-2015
Summary	We show that a sufficient condition for an irreducible automorphic Galois representation ρ:GF→GL2(F¯¯¯¯p) of a totally real field F to have an automorphic crystalline lift is that for each place v of F above p the restriction detρ\|Iv is a fixed power of the mod p cyclotomic character. Moreover, we show that the only obstruction to controlling the level and character of such automorphic lifts arises for badly dihedral representations.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1509.04979

Citation

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AMA 11th EditionReferences

Diamond, Fred. Crystalline lifts of two-dimensional mod p automorphic Galois representations. N.A. September 16, 2015. Accessed August 18, 2025. https://online.provdatabase.com/cite/11342

APA 7th EditionReferences

Diamond, Fred. (2015). Crystalline lifts of two-dimensional mod p automorphic Galois representations. N.A. https://online.provdatabase.com/cite/11342

Chicago 17th EditionReferences

Diamond, Fred. Crystalline lifts of two-dimensional mod p automorphic Galois representations. N.A. 2015. https://online.provdatabase.com/cite/11342

HarvardReferences

Diamond, Fred. (2015). Crystalline lifts of two-dimensional mod p automorphic Galois representations. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11342. (Accessed 18 August 2025).

Harvard AustraliaReferences

Diamond, Fred, 2015, Crystalline lifts of two-dimensional mod p automorphic Galois representations, N.A, viewed 18 August 2025, <https://online.provdatabase.com/cite/11342>

MLA 9th EditionWorks Cited

Diamond, Fred. Crystalline lifts of two-dimensional mod p automorphic Galois representations. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11342.

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