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Start Over Author "Geil, Olav" Journal journal of pure & applied algebra
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1. Bounding the number of -rational places in algebraic function fields using Weierstrass semigroups

Author

Geil, Olav and Matsumoto, Ryutaroh

Subjects
*ALGEBRAIC functions, *SEMIGROUPS (Algebra), *GENERATORS of groups, *CLASS field towers, *NUMERICAL analysis, *RATIONAL points (Geometry)
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]

Published
2009
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