Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces

Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces

Author Bianchi, Angelo Calil Autor UNIFESP Google Scholar
Veloso, Marcelo Oliveira Google Scholar
Abstract We describe the set of all locally nilpotent derivations of the quotient ring K[X,Y, Z]/(f (X)Y - phi(X, Z)) constructed from the defining equation f (X)Y = phi(X, Z) of a generalized Danielewski surface in K-3 for a specific choice of polynomials f and phi, with K an algebraically closed field of characteristic zero. As a consequence of this description we calculate the ML-invariant and the Derksen invariant of this ring. We also determine a set of generators for the group of K-automorphisms of K[X, Y, Z]/(f (X)Y- phi(Z)) also for a specific choice of polynomials f and phi. (C) 2016 Elsevier Inc. All rights reserved.
Keywords Automorphisms
Danielewski surface
Locally nilpotent derivations
ML-invariant
xmlui.dri2xhtml.METS-1.0.item-coverage San Diego
Language English
Sponsor Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Grant number CNPq: 462315/2014-2
FAPESP: 14/09310-5
Date 2017
Published in Journal Of Algebra. San Diego, v. 469, p. 96-108, 2017.
ISSN 0021-8693 (Sherpa/Romeo, impact factor)
Publisher Academic Press Inc Elsevier Science
Extent 96-108
Origin http://dx.doi.org/10.1016/j.jalgebra.2016.08.030
Access rights Closed access
Type Article
Web of Science ID WOS:000387637100005
URI https://repositorio.unifesp.br/handle/11600/56529

Show full item record




File

File Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Search


Browse

Statistics

My Account