Seven Lectures on Polynomial Automorphisms

Arno van den Essen ()
Additional contact information
Arno van den Essen: University of Nijmegen, Department of Mathematics

A chapter in Automorphisms of Affine Spaces, 1995, pp 3-39 from Springer

Abstract: Abstract Throughout these lectures we use the following notation and terminology: ℕ:= {1, 2, 3,...}, ℕ̅ = ℕ ∪ {0}, ℚ = the rational numbers, ℝ:= the real numbers and ℂ:= the complex numbers. Furthermore k will denote an arbitrary field and F = (F 1, ..., F n): k n → k n a polynomial map i.e. a map of the form $$\left( {{{x}_{1}}, \ldots ,{{x}_{n}}} \right) \mapsto \left( {{{F}_{1}}\left( {{{x}_{1}}, \ldots ,{{x}_{n}}} \right), \ldots ,{{F}_{n}}\left( {{{x}_{1}}, \ldots ,{{x}_{n}}} \right)} \right),$$ where each F i belongs to the polynomial ring k[X]: = k[X 1, ..., X n ].

Keywords: Algebraic Group; Polynomial Ring; Apply Algebra; Jacobian Conjecture; Polynomial Automorphism (search for similar items in EconPapers)
Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-8555-2_1

Ordering information: This item can be ordered from
http://www.springer.com/9789401585552

DOI: 10.1007/978-94-015-8555-2_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().