On the GIT-Stability of Foliations of Degree 3 with a Unique Singular Point

被引：0

作者：

Castorena, Abel ^{[1
]}

Pantaleon-Mondragon, P. Rubi ^{[1
]}

Aquino, Juan Vasquez ^{[2
]}

机构：

[1] Ctr Ciencias Matemat, Antigua Carretera Patzcuaro, Morelia 58089, Michoacan, Mexico

[2] Univ Autonoma Zacatecas, Unidad Acad Matemat, Paseo Bufa, Zacatecas 98060, Zacatecas, Mexico

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2024年 / 55卷 / 01期

关键词：

Holomorphic foliation; Stability; Singular point; Geometric Invariant Theory;

D O I：

10.1007/s00574-023-00379-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Applying Geometric Invariant Theory (GIT), we study the stability of foliations of degree 3 on P-2 with a unique singular point of multiplicity 1, 2, or 3 and Milnor number 13. In particular, we characterize those foliations for multiplicity 2 in three cases: stable, strictly semistable, and unstable.

引用

页数：14

共 50 条

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