多項式映射的漸近簇(英文)（簡體書）

本書是一部英文版的數學專著，深入研究了多項式映射的漸近簇，中文書名可譯為《多項式映射的漸近簇》。本書作者為羅恩·佩雷茨（Ronen Peretz），以色列人，本·古裡安大學數學系教授。他的研究領域為：幾何函數論、複變函數論中的極值問題、與多項式映射相關的仿射幾何。他同時也是數字圖像處理方面的專家。

羅恩·佩雷茨（Ronen Peretz），以色列人，本·古裡安大學數學系教授。他的研究領域為：幾何函數論、複變函數論中的極值問題、與多項式映射相關的仿射幾何。他同時也是數字圖像處理方面的專家。

1 introduction
2 A Theorem of J. Hadamard
3 Asymptotic and Sequential Asymptotic Values of Polynomial Maps
4 The Asymptotic Values of a Polynomial Map C2 → C2 Form a Va-riety which is the Union of Two Natural Algebraic Curves in C2
5 The Resultant Formulation of the Jacobian Conjecture
6 The Jacobian Conjecture in Dimension 2 is Decidable
7 A Straight Forward Inductive Approach Fails
8 Grading an Algebra with a Derivation - Introduction
9 Grading an Algebra According To a Derivation
10 The Structure of the D-classes
11 Application to Automorphisms of Polynomial Rings
12 Elementary Properties of Resultants of Jacobian Pairs
13 Invertible Morphisms their Resultants and Inversion Formulas
14 The Rigidity of Morphisms
15 The Fibre Theorem
16 Expressing the Jacobian and the Resultant in Grassmann Coordi-nates
17 One More Inversion Formula and an Equivalent Formulation to the Jacobian Conjecture
18 Parametrization of the Jacobian Variety
19 More Statements which are Equivalent to the Jacobian Conjecture
Bibliography
編輯手記