On planar embeddings of pseudoplanar affine curves of genus ≤ 1

被引：0
|
作者：
Mulay, Shashikant [1 ]
机构：
[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA
来源：
JOURNAL OF ALGEBRA | 2021年 / 577卷
关键词：
Planar embeddings; Pseudoplanar affine curves;
D O I：
10.1016/j.jalgebra.2021.03.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that any two planar cubic embeddings of a pseudoplanar curve of genus 1 (over complex numbers) are linearly equivalent. We describe the 'abstract moduli' of nonsingular affine plane cubic curves with 3 places at infinity. We note some examples of inequivalent planar embeddings of a nonsingular affine curve of genus 0 having 2 places at infinity. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：32 / 44
页数：13
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