Generalized reciprocity laws
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- by José M. Muñoz Porras and Fernando Pablos Romo PDF
- Trans. Amer. Math. Soc. 360 (2008), 3473-3492 Request permission
Abstract:
The aim of this paper is to give an abstract formulation of the classical reciprocity laws for function fields that could be generalized to the case of arbitrary (non-commutative) reductive groups as a first step to finding explicit non-commutative reciprocity laws. The main tool in this paper is the theory of determinant bundles over adelic Sato Grassmannians and the existence of a Krichever map for rank $n$ vector bundles.References
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Additional Information
- José M. Muñoz Porras
- Affiliation: Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, Salamanca 37008, Spain
- Email: jmp@usal.es
- Fernando Pablos Romo
- Affiliation: Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, Salamanca 37008, Spain
- Email: fpablos@usal.es
- Received by editor(s): March 8, 2006
- Published electronically: February 27, 2008
- Additional Notes: This work was partially supported by DGI research contract no. MTM2006-07618 and Castilla y León regional government contract SA071/04.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 3473-3492
- MSC (2000): Primary 14H05, 19F15, 14M15
- DOI: https://doi.org/10.1090/S0002-9947-08-04554-6
- MathSciNet review: 2386233