Non-communtative Iwasawa main conjecture
We formulate and prove an analogue of the non-commutative Iwasawa Main Conjecture for l-adic representations of the Galois group of a function field of characteristic p. We also prove a functional equation for the resulting non-commutative L-functions. As corollaries, we obtain non-commutative gener...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
14 July 2020
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| In: |
International journal of number theory
Year: 2020, Volume: 16, Issue: 9, Pages: 2041-2094 |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042120501067 |
| Online Access: | Resolving-System, Volltext: http://doi.org/10.1142/S1793042120501067
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| Author Notes: | Malte Witte |
| Summary: | We formulate and prove an analogue of the non-commutative Iwasawa Main Conjecture for l-adic representations of the Galois group of a function field of characteristic p. We also prove a functional equation for the resulting non-commutative L-functions. As corollaries, we obtain non-commutative generalizations of the main conjecture for Picard-1-motives of Greither and Popescu and a main conjecture for abelian varieties over function fields in precise analogy to the GL(2) main conjecture of Coates, Fukaya, Kato, Sujatha and Venjakob. |
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| Item Description: | Gesehen am 09.11.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1793-0421 |
| DOI: | 10.1142/S1793042120501067 |