Families and unfoldings of singular holomorphic Lie algebroids

被引：0

作者：

Correa, Mauricio ^{[1
,2
]}

Molinuevo, Ariel ^{[3
]}

Quallbrunn, Federico ^{[4
]}

机构：

[1] ICEx UFMG, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

[2] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

[3] Univ Fed Rio de Janeiro, Inst Matemat, Ctr Tecnol, Av Athos da Silveira Ramos 149,Bloco C,Cidade Univ, BR-21941909 Rio de Janeiro, RJ, Brazil

[4] Univ CAECE, Dept Matemat, Av Mayo 866,CP C1084AAQ, Buenos Aires, Argentina

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2023年 / 24卷 / 02期

关键词：

FOLIATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate families of singular holomorphic Lie algebroids on complex analytic spaces. We introduce and study a special type of deformation called unfoldings of Lie algebroids, which generalizes the theory of singular holomorphic foliations developed by T. Suwa. We show that a one-to-one correspondence between transversal unfoldings and holomorphic flat connections on a natural Lie algebroid on the bases exists.

引用

页码：989 / 1006

页数：18

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