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Main conjectures for higher rank nearly ordinary families – I.
- Source :
-
Journal of Number Theory . Nov2023, Vol. 252, p1-73. 73p. - Publication Year :
- 2023
-
Abstract
- In this article, we present the first half of our project on the Iwasawa theory of higher rank Galois deformations over deformations rings of arbitrary dimension. We develop a theory of Coleman maps for a very general class of coefficient rings, devise a dimension reduction procedure for locally restricted Euler systems and finally, put these into use in order to prove a divisibility in a 3-variable main conjecture for nearly ordinary families of Rankin-Selberg convolutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOGICAL prediction
*FAMILIES
*MODULAR forms
*COEFFICIENTS (Statistics)
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 252
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 167370324
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.04.005