A CHAIN RULE FOR MULTIVARIABLE RESULTANTS

被引：11

作者：

CHENG, CCA

MCKAY, JH

WANG, SSS

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 04期

关键词：

MULTIVARIABLE RESULTANT; COMMON ZEROS; GENERIC POLYNOMIALS; JACOBIAN CONJECTURE; CHAIN RULE; NULLSTELLENSATZ; DISCRIMINANT; ISOBARIC PROPERTY; INVARIANT;

D O I：

10.2307/2160699

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a chain rule for the multivariable resultant, which is similar to the familiar chain rule for the Jacobian matrix. Specifically, given two homogeneous polynomial maps K-n --> K-n for a commutative ring K, such that their composition is a homogeneous polynomial map, the resultant of the composition is the product of appropriate powers of resultants of the individual maps.

引用

页码：1037 / 1047

页数：11

共 14 条

[1]

Bourbaki N., 1998, ELEMENTS MATH

[2]

CHARDIN M, 1990, THESIS U P M CURIE P

[3]

CHENG CC, 1992, ABSTR AM MATH SOC, V13, P242

[4]

DEBRUNO FF, 1876, RESUME LECONS FAITES

[5] DISCRIMINANTS OF POLYNOMIALS IN MANY VARIABLES [J].

GELFAND, IM ;

ZELEVINSKII, AV ;

KAPRANOV, MM .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1990, 24 (01) :1-4

[6] ON SOME RESULTANT IDENTITIES [J].

KRAVITSKY, N ;

WAKSMAN, Z .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 122 :3-21

[7]

KUNZ E, 1985, EINFUHRUNG KOMMUTATI

[8]

Macaulay F.S, 1916, CAMBRIDGE TRACTS MAT, V19

[9]

Macaulay FS, 1903, P LOND MATH SOC, V35, P3

[10]

MACAULAY FS, 1991, ARCH MATH, V56, P352

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