有限域II上的曲线Yn = xl (Xm + 1

IF 0.5 4区数学 Q3 MATHEMATICS Advances in Geometry Pub Date : 2021-06-24 DOI:10.1515/advgeom-2021-0017

Saeed Tafazolian, F. Torres

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引用次数: 1

摘要

设F是q2阶的有限域。在本文中，我们在[24]，[23]，[22]中继续研究由yn=x型方程定义的F-极大曲线ℓ（xm+1）$｛｛y｝^｛n｝｝＝｛x｝^｝\ell｝｝\left（｛x}^｛m｝｝+1\right）$通过vN=ut2−u${{v}^{N}}={u}^{{t}^{2}}}-u$的非奇异模型的某些子覆盖得到了新的结果，其中q=tα，α≥3是奇数，N=（tα+1）/（t+1）。我们观察到，情况α=3与Giulietti–Korchmáros曲线密切相关。

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The curve Yn = Xℓ(Xm + 1) over finite fields II

Abstract Let F be the finite field of order q2. In this paper we continue the study in [24], [23], [22] of F-maximal curves defined by equations of type yn=xℓ(xm+1). ${{y}^{n}}={{x}^{\ell }}\left( {{x}^{m}}+1 \right).$New results are obtained via certain subcovers of the nonsingular model of vN=ut2−u ${{v}^{N}}={{u}^{{{t}^{2}}}}-u$where q = tα, α ≥ 3 is odd and N = (tα + 1)/(t + 1). We observe that the case α = 3 is closely related to the Giulietti–Korchmáros curve.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.

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