Danielewski-Fieseler surfaces
| dc.creator | Dubouloz, Adrien | |
| dc.date | 2004-01-19 | |
| dc.date | 2004-09-14 | |
| dc.date.accessioned | 2026-07-07T05:04:39Z | |
| dc.date.available | 2026-07-07T05:04:39Z | |
| dc.description | We study a class of normal affine surfaces with additive group actions which contains in particular the Danielewski surfaces in $\ba^{3}$ given by the equations $x^{n}z=P(y)$, where $P$ is a nonconstant polynomial with simple roots. We call them Danielewski-Fieseler Surfaces. We reinterpret a construction of Fieseler \cite{Fie94} to show that these surfaces appear as the total spaces of certain torsors under a line bundle over a curve with an $r$-fold point. We classify Danielewski-Fieseler surfaces through labelled rooted trees attached to such a surface in a canonical way. Finally, we characterize those surfaces which have a trivial Makar-Limanov invariant in terms of the associated trees. | |
| dc.description | In this paper, we generalize the results on Danielewski surfaces to surfaces admitting certain A^1-fibration p:S-->X over the spectrum of a discrete valuation ring. We characterize among them the ones with a trivial Makar-Limanov invariant over an arbitrary algebraically closed field of caracteristic zero | |
| dc.identifier | https://arxiv.org/abs/math/0401225 | |
| dc.identifier | http://arxiv.org/abs/math/0401225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69886 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J26,14R05,14R20,14R25 | |
| dc.title | Danielewski-Fieseler surfaces | |
| dc.type | text |