Algebraic Aspects of Additive Group Actions on Complex Affine Space

James Deveney and David Finston
Additional contact information
James Deveney: Virginia Commonwealth University, Dept. of Mathematical Sciences
David Finston: New Mexico State University, Dept. of Mathematical Sciences

A chapter in Automorphisms of Affine Spaces, 1995, pp 179-190 from Springer

Abstract: Abstract The automorphism group A n (ℂ) of the polynomial ring (ℂ[x 1, ..., x n ] in n variables over the complex field, equivalently the automorphism group of n-dimensional complex affine space, is known to have the structure of an infinite dimensional algebraic group [30]. Our concern in this paper is with embeddings of the additive group G a in A n (ℂ), in other words with algebraic (sometimes referred to as rational or polynomial) actions of G a on complex affine affine space. Throughout this report, all group actions on varieties are assumed to be algebraic (i.e. the orbit of any regular function spans a finite dimensional complex vector space).

Keywords: Polynomial Ring; Proper Action; Ring Extension; Affine Variety; Algebraic Aspect (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_12

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

DOI: 10.1007/978-94-015-8555-2_12

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 ().