SINGULARITIES OF THE DUAL CURVE OF A CERTAIN PLANE CURVE IN POSITIVE CHARACTERISTIC

被引：0

作者：

Komeda, Kosuke ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, 1-3-1 Kagamiyama, Higashihiroshima 7398526, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2021年 / 44卷 / 01期

关键词：

plane curve; dual curve; positive characteristic; singularity;

D O I：

10.2996/kmj44110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that the Gauss map for a complex plane curve is birational, whereas the Gauss map in positive characteristic is not always birational. Let q be a power of a prime integer. We study a certain plane curve of degree q(2) + q + 1 for which the Gauss map is inseparable with inseparable degree q. As a special case, we show a relation between the dual curve of the Fermat curve of degree q(2) + q + 1 and the Ballico-Hefez curve.

引用

页码：166 / 180

页数：15

共 50 条

[41] On the topology of the image by a morphism of plane curve singularities
F. Delgado
H. Maugendre
[J]. Revista Matemática Complutense, 2014, 27 : 369 - 384
[42] On the Jacobian Newton polygon of plane curve singularities
Andrzej Lenarcik
[J]. manuscripta mathematica, 2008, 125 : 309 - 324
[43] Iterated inverse images of plane curve singularities
Eduardo Casas-Alvero
Joaquim Roé
[J]. Acta Mathematica Sinica, English Series, 2011, 27 : 2319 - 2328
[44] On the Jacobian Newton polygon of plane curve singularities
Lenarcik, Andrzej
[J]. MANUSCRIPTA MATHEMATICA, 2008, 125 (03) : 309 - 324
[45] Local stable reduction of plane curve singularities
Hassett, B
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2000, 520 : 169 - 194
[46] Galois points for a plane curve and its dual curve, II
Fukasawa, Satoru
Miura, Kei
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (05) : 2038 - 2048
[47] On certain classes of curve singularities with reduced tangent cone
De Paris, A
[J]. COMMUNICATIONS IN ALGEBRA, 1999, 27 (12) : 6159 - 6166
[48] Discriminant of a morphism and inverse images of plane curve singularities
Casas-Alvero, E
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2003, 135 : 385 - 394
[49] Determining plane curve singularities from its polars
Alberich-Carraminana, Maria
Gonzalez-Alonso, Victor
[J]. ADVANCES IN MATHEMATICS, 2016, 287 : 788 - 822
[50] Spectrum of projective plane curve arrangements with ordinary singularities
Yoon, Youngho
[J]. COMMUNICATIONS IN ALGEBRA, 2019, 47 (10) : 4262 - 4270

← 1 2 3 4 5 →