Tjurina number of a local complete intersection curve

被引：0

作者：

Bayer, Valmecir Antonio dos Santos ^{[1
]}

de Guzman, Edison Marcavillaca Nino ^{[2
]}

Hefez, Abramo ^{[3
]}

Hernandes, Marcelo Escudeiro ^{[4
]}

机构：

[1] Univ Fed Espirito Santo, Vitoria, Brazil

[2] Univ Continental, Cuzco, Peru

[3] Univ Fed Fluminense, Niteroi, Brazil

[4] Univ Estadual Maringa, Maringa, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 02期

关键词：

Complete intersection curves; singularities of curves; Tjurina number; ANALYTIC CLASSIFICATION; VALUES;

D O I：

10.1080/00927872.2024.2381823

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In contrast to the Milnor number, there was no known formula relating the Tjurina number of a reducible curve to the Tjurina numbers of its components. In this work we exhibit such a formula relating Tjurina number of a complete intersection algebroid (or analytic) curve over an algebraically closed field of characteristic zero (or over C) to the Tjurina numbers of its components, involving the intersection indices among the components and numerical analytic invariants extracted from modules of K & auml;hler differentials on unions of branches of the curve.

引用

页码：509 / 520

页数：12

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