Journal article
HIGHER CHERN CLASSES IN IWASAWA THEORY
American journal of mathematics, Vol.142(2), pp.627-682
04/01/2020
DOI: 10.1353/ajm.2020.0017
Abstract
We begin a study of mth Chern classes and north characteristic symbols for Iwasawa modules which are supported in codimension at least m. This extends the classical theory of characteristic ideals and their generators for Iwasawa modules which are torsion, i.e., supported in codimension at least 1. We apply this to an Iwasawa module constructed from an inverse limit of p-parts of ideal class groups of abelian extensions of an imaginary quadratic field. When this module is pseudo-null, which is conjecturally always the case, we determine its second Chern class and show that it has a characteristic symbol given by the Steinberg symbol of two Katz p-adic L-functions.
Details
- Title: Subtitle
- HIGHER CHERN CLASSES IN IWASAWA THEORY
- Creators
- F. M Bleher - Univ Iowa, Dept Math, Iowa City, IA 52242 USAT Chinburg - Univ Penn, Dept Math, Philadelphia, PA 19104 USAR GreenbergM Kakde - Number TheoryG Pappas - Michigan State UniversityR SharifiM. J Taylor - Univ Oxford Merton Coll, Oxford OX1 4JE, England
- Resource Type
- Journal article
- Publication Details
- American journal of mathematics, Vol.142(2), pp.627-682
- Publisher
- JOHNS HOPKINS UNIV PRESS
- DOI
- 10.1353/ajm.2020.0017
- ISSN
- 0002-9327
- eISSN
- 1080-6377
- Number of pages
- 56
- Grant note
- 338379; 304824 / Simons Foundation DMS-1360621; DMS-1360767; DMS-1265290; DMS-1360733; DMS-1360902; DMS-1360583 / NSF FRG grant; National Science Foundation (NSF) DMS1801328; DMS-1107263/1107367/1107452; DMS-1701619; DMS-1401122/1615568; DMS-1801963 / NSF; National Science Foundation (NSF) CNS-1513671; CNS-1701785 / NSF SaTC grants EP/L021986/1 / EPSRC First grant; UK Research & Innovation (UKRI); Engineering & Physical Sciences Research Council (EPSRC)
- Language
- English
- Date published
- 04/01/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241151902771
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