Please use this identifier to cite or link to this item:
doi:10.22028/D291-26181
Title: | Stickelberger ideals and divisor class numbers |
Author(s): | Yin, Linsheng |
Language: | English |
Year of Publication: | 2000 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Let K/k be a finite abelian extension of function fields with Galois group G. Using the Stickelberger elements associated to K/k studied by J.Tate, P.Deligne and D.Hayes, we construct an ideal I in the integral group ring \mathbb{Z}[G] relative to the extension K/k, whose elements annihilate the group of divisor classes of degree zero of K and whose rank is equal to the degree of the extension. When K/k is a (wide or narrow) ray class extension, we compute the index of I in \mathbb{Z}[G], which is equal to the divisor class number of K up to a trivial factor. |
Link to this record: | urn:nbn:de:bsz:291-scidok-42981 hdl:20.500.11880/26237 http://dx.doi.org/10.22028/D291-26181 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 17 |
Date of registration: | 18-Nov-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
---|---|---|---|---|
preprint_17_00.pdf | 243,71 kB | Adobe PDF | View/Open |
Items in SciDok are protected by copyright, with all rights reserved, unless otherwise indicated.