NEW FREE DIVISORS FROM OLD

被引：11

作者：

Buchweitz, Ragnar-Olaf ^{[1
]}

Conca, Aldo ^{[2
]}

机构：

[1] Univ Toronto Scarborough, Dept Comp & Math Sci, Toronto, ON M1A 1C4, Canada

[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2013年 / 5卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Free divisor; discriminant; Saito matrix; binomial; Euler vector field;

D O I：

10.1216/JCA-2013-5-1-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present several methods to construct or identify families of free divisors such as those annihilated by many Euler vector fields, including binomial free divisors, or divisors with triangular discriminant matrix. We show how to create families of quasihomogeneous free divisors through the chain rule or by extending them into the tangent bundle. We also discuss whether general divisors can be extended to free ones by adding components and show that adding a normal crossing divisor to a smooth one will not succeed.

引用

页码：17 / 47

页数：31

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