EXPLICIT GEOMETRIC PARAMETRIZATION OF ALGEBRAIC POINTS OF GIVEN DEGREE ON A QUOTIENT OF THE FERMAT CURVE

We give a geometric description of all algebraic points of arbitrary degree over on the affine curve defined by the equation This curve is a special case of the quotients of Fermat curves of the form as studied by Sall (see [6]), completing earlier works of Gross and Rohrlich (cf. [4]).

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Publication Details

Journal
JP Journal of Geometry and Topology
Published
2025-08-22
DOI
https://doi.org/10.17654/0972415x25006
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
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article

EXPLICIT GEOMETRIC PARAMETRIZATION OF ALGEBRAIC POINTS OF GIVEN DEGREE ON A QUOTIENT OF THE FERMAT CURVE

Chérif Mamina Coly, Mohamadou Mor Diogou Diallo
JP Journal of Geometry and Topology
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
article

EXPLICIT GEOMETRIC PARAMETRIZATION OF ALGEBRAIC POINTS OF GIVEN DEGREE ON A QUOTIENT OF THE FERMAT CURVE

Chérif Mamina Coly, Mohamadou Mor Diogou Diallo
article en

Abstract

We give a geometric description of all algebraic points of arbitrary degree over on the affine curve defined by the equation This curve is a special case of the quotients of Fermat curves of the form as studied by Sall (see [6]), completing earlier works of Gross and Rohrlich (cf. [4]).

JP Journal of Geometry and TopologyVol. 31(2)
Openalex Percentile: Top 79%
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
DOISourceOpenAlex
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EXPLICIT GEOMETRIC PARAMETRIZATION OF ALGEBRAIC POINTS OF GIVEN DEGREE ON A QUOTIENT OF THE FERMAT CURVE — Chérif Mamina Coly, Mohamadou Mor Diogou Diallo · JP Journal of Geometry and Topology (2025) | TGRS Research Map | TGRS