Bounding the number of Fq-rational places in algebraic function fields using Weierstrass semigroups

Hans Olav Geil; Ryutaroh Matsumoto

doi:10.1016/j.jpaa.2008.11.013

Bounding the number of F_q-rational places in algebraic function fields using Weierstrass semigroups

Hans Olav Geil, Ryutaroh Matsumoto

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

11 Citationer (Scopus)

Abstract

We present a new bound on the number of F_q-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.
Udgivelsesdato: JUN

Originalsprog	Engelsk
Tidsskrift	Journal of Pure and Applied Algebra
Vol/bind	213
Udgave nummer	6
Sider (fra-til)	1152-1156
Antal sider	5
ISSN	0022-4049
DOI	https://doi.org/10.1016/j.jpaa.2008.11.013
Status	Udgivet - 2009

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10.1016/j.jpaa.2008.11.013

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Citationsformater

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abstract = "We present a new bound on the number of Fq-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.",

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AU - Geil, Hans Olav

AU - Matsumoto, Ryutaroh

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AB - We present a new bound on the number of Fq-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.

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DO - 10.1016/j.jpaa.2008.11.013

M3 - Journal article

SN - 0022-4049

VL - 213

SP - 1152

EP - 1156

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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