On the Closure of the Tame Automorphism Group of Affine Three-Space


Autoria(s): Edo, Éric; Poloni, Pierre-Marie
Data(s)

2014

Resumo

We provide explicit families of tame automorphisms of the complex affine three-space which degenerate to wild automorphisms. This shows that the tame subgroup of the group of polynomial automorphisms of C3 is not closed, when the latter is seen as an infinite-dimensional algebraic group.

Formato

application/pdf

Identificador

http://boris.unibe.ch/82554/1/1403.2843.pdf

Edo, Éric; Poloni, Pierre-Marie (2014). On the Closure of the Tame Automorphism Group of Affine Three-Space. International Mathematics Research Notices, 2015(19), pp. 9736-9750. Oxford University Press 10.1093/imrn/rnu237 <http://dx.doi.org/10.1093/imrn/rnu237>

doi:10.7892/boris.82554

info:doi:10.1093/imrn/rnu237

urn:issn:1073-7928

Idioma(s)

eng

Publicador

Oxford University Press

Relação

http://boris.unibe.ch/82554/

Direitos

info:eu-repo/semantics/openAccess

Fonte

Edo, Éric; Poloni, Pierre-Marie (2014). On the Closure of the Tame Automorphism Group of Affine Three-Space. International Mathematics Research Notices, 2015(19), pp. 9736-9750. Oxford University Press 10.1093/imrn/rnu237 <http://dx.doi.org/10.1093/imrn/rnu237>

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

PeerReviewed