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Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces

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Date
2017
Author
Bianchi, Angelo Calil [UNIFESP]
Veloso, Marcelo Oliveira
Type
Artigo
ISSN
0021-8693
Is part of
Journal Of Algebra
DOI
10.1016/j.jalgebra.2016.08.030
Metadata
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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.
Citation
Journal Of Algebra. San Diego, v. 469, p. 96-108, 2017.
Keywords
Automorphisms
Danielewski surface
Locally nilpotent derivations
ML-invariant
Sponsorship
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
URI
https://repositorio.unifesp.br/handle/11600/56529
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  • ICT - Artigos [439]

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