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

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

11 Citations (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.

Original language	English
Journal	Journal of Pure and Applied Algebra
Volume	213
Issue number	6
Pages (from-to)	1152-1156
Number of pages	5
ISSN	0022-4049
DOIs	https://doi.org/10.1016/j.jpaa.2008.11.013
Publication status	Published - 2009

Access to Document

10.1016/j.jpaa.2008.11.013

AUB Link

Search for the material in Aalborg University Library's search engine

Cite this

@article{71945850e09111ddb0a4000ea68e967b,

title = "Bounding the number of Fq-rational places in algebraic function fields using Weierstrass semigroups",

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.",

author = "Geil, {Hans Olav} and Ryutaroh Matsumoto",

year = "2009",

doi = "10.1016/j.jpaa.2008.11.013",

language = "English",

volume = "213",

pages = "1152--1156",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "6",

}

TY - JOUR

T1 - Bounding the number of Fq-rational places in algebraic function fields using Weierstrass semigroups

AU - Geil, Hans Olav

AU - Matsumoto, Ryutaroh

PY - 2009

Y1 - 2009

N2 - 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.

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.

U2 - 10.1016/j.jpaa.2008.11.013

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

IS - 6

ER -