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An Algebraic-Geometric Method for Constructing Generalized Local Symbols on Curves.
- Source :
-
Communications in Algebra . Jun2010, Vol. 38 Issue 6, p2142-2163. 22p. - Publication Year :
- 2010
-
Abstract
- The aim of this work is to provide an algebraic-geometric method to construct generalized local symbols on curves as morphisms of group schemes. From a closed point of a complete, irreducible, and nonsingular curve C over a perfect field k as the only data, using theta groups over Picard schemes of curves, we offer a geometric construction that allows us to define generalizations of the tame symbol and the Hilbert norm residue symbol. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 38
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 51417493
- Full Text :
- https://doi.org/10.1080/00927870903036347