|
The theta divisor and the Stickelberger theorem
Author(s):
A.
Álvarez
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2207-2217.
MSC (2000):
Primary 11G09, 11G40, 14K25
Posted:
March 4, 2005
MathSciNet review:
2138861
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
This paper is devoted to studying certain trivial correspondences provided by theta divisors and their relation to the Brumer-Stark conjecture.
References:
- [Al]
- Alvarez, A. ``Uniformizers for elliptic sheaves'', International Journal of Mathematics 11 n 7 (2000), pp.949-968 MR 1792961 (2001k:11106)
- [An1]
- Anderson, G. ``Rank one elliptic
 -modules and  -harmonic series'', Duke Mathematical Journal 73 (1994), pp.491-542 MR 1262925 (95b:11059) - [An2]
- Anderson, G. ``A two dimensional analogue of Stickelberger's theorem'' in: The Arithmetic of Function Fields, ed. D.Goss, D.R. Hayes, W. de Gruyter, Berlin, 1992, pp.51-77 MR 1196511 (94a:11183)
- [An3]
- Anderson, G. ``A two-variable refinement of the Stark conjecture in the function field case'' math.NT/0407535
- [C]
- Coleman, R. ``On the Frobenius endomorphisms of the Fermat and Artin-Schreier curves'' Proc. Amer. Math. Soc., 102 (1988), pp.463-466. MR 0928961 (89c:11099)
- [Dr]
- Drinfeld, V.G. ``Commutative subrings of certain non-commutative rings'', English Transl. in Funct. Anal. Appli. 21 (1987), pp.107-122
- [F]
- Pablos, Fernando. ``On the Tame symbol of an algebraic curve'', Comm. Algebra 30 n 9 (2002), pp.4349-4368 MR 1936475 (2003k:14042)
- [H]
- Hayes, D.R. ``Stickelberg elements in function fields'', Compositio Mathematica 55 (1985), pp.209-239 MR 0795715 (87d:11091)
- [Mu]
- Mumford, D. ``An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equations, Korteweg-de Vries equation and related non-linear equations'', Int. Symp. Algebraic Geometry (Kyoto 1977), Kinokuniya, Tokyo, 1977, 115-153. MR 0578857 (83j:14041)
- [Se]
- Serre, J.P. ``Groupes algebriques et corps de classes'', Hermann (1959).
- [T]
- Tate, J. ``Les Conjectures de Stark sur les fonctions
 d'Artin en  '', Birkhauser, Boston, 1984 MR 0782485 (86e:11112)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
11G09, 11G40, 14K25
Retrieve articles in all Journals with
MSC (2000):
11G09, 11G40, 14K25
Additional Information:
A.
Álvarez
Affiliation:
Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, Salamanca (37008), Spain
Email:
aalvarez@gugu.usal.es
DOI:
10.1090/S0002-9939-05-07995-5
PII:
S 0002-9939(05)07995-5
Received by editor(s):
September 2, 2003
Posted:
March 4, 2005
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
