Journal article
Exterior powers in Iwasawa theory
Journal of the European Mathematical Society : JEMS, Vol.24(3), pp.967-1005
01/01/2022
DOI: 10.4171/JEMS/1115
Abstract
The Iwasawa theory of CM fields has traditionally concerned Iwasawa modules that are abelian pro-p Galois groups with ramification allowed at a maximal set of primes over p such that the module is torsion. A main conjecture for such an Iwasawa module describes its codimension one support in terms of a p-adic L-function attached to the primes of ramification. In this paper, we study more general and potentially much smaller modules that are quotients of exterior powers of Iwasawa modules with ramification at a set of primes over p by sums of exterior powers of inertia subgroups. We show that the higher codimension support of such quotients can be measured by finite collections of characteristic ideals of classical Iwasawa modules, hence by p-adic L-functions under the relevant CM main conjectures.
Details
- Title: Subtitle
- Exterior powers in Iwasawa theory
- Creators
- Frauke M Bleher - University of IowaTed Chinburg - University of PennsylvaniaRalph Greenberg - University of WashingtonMahesh Kakde - Indian Institute of Science BangaloreRomyar Sharifi - University of California, BerkeleyMartin J Taylor - University of Oxford
- Resource Type
- Journal article
- Publication Details
- Journal of the European Mathematical Society : JEMS, Vol.24(3), pp.967-1005
- DOI
- 10.4171/JEMS/1115
- ISSN
- 1435-9855
- eISSN
- 1435-9863
- Publisher
- EUROPEAN MATHEMATICAL SOC-EMS
- Number of pages
- 39
- Grant note
- 338379 / Simons Foundation DMS-1801328; DMS-1801963 / NSF; National Science Foundation (NSF) DMS-1360621; DMS-1360767; DMS-1360902; DMS-1360583 / NSF FRG; National Science Foundation (NSF) CNS-1513671/1701785 / NSF SaTC
- Language
- English
- Date published
- 01/01/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984241053702771
Metrics
11 Record Views