Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces

Autor(es)

Bianchi, Angelo Calil ; Veloso, Marcelo Oliveira

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 469, p. 96-108, JAN 1 2017.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático