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Bounding the number of -rational places in algebraic function fields using Weierstrass semigroups
- Source :
-
Journal of Pure & Applied Algebra . Jun2009, Vol. 213 Issue 6, p1152-1156. 5p. - Publication Year :
- 2009
-
Abstract
- Abstract: We present a new bound on the number of -rational places in an algebraic function field. It uses information about the generators of the Weierstrass semigroup related to a rational place. As we demonstrate, the bound has implications to the theory of towers of function fields. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 213
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 36780008
- Full Text :
- https://doi.org/10.1016/j.jpaa.2008.11.013