Affine surfaces with trivial Makar-Limanov invariant
| dc.creator | Daigle, Daniel | |
| dc.date | 2007-05-02 | |
| dc.date.accessioned | 2026-07-07T07:59:09Z | |
| dc.date.available | 2026-07-07T07:59:09Z | |
| dc.description | We study the class of 2-dimensional affine k-domains R satisfying ML(R) = k, where k is an arbitrary field of characteristic zero. In particular, we obtain the following result: Let R be a localization of a polynomial ring in finitely many variables over a field of characteristic zero. If ML(R) = K for some field K included in R and such that R has transcendence degree 2 over K, then R is K-isomorphic to K[X,Y,Z]/(XY-P(Z)) for some nonconstant polynomial P(Z) in K[Z]. | |
| dc.description | 12 pages. See also http://aix1.uottawa.ca/~ddaigle/index.html | |
| dc.identifier | https://arxiv.org/abs/0705.0334 | |
| dc.identifier | http://arxiv.org/abs/0705.0334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128264 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14R10; 14R05; 14R20 | |
| dc.title | Affine surfaces with trivial Makar-Limanov invariant | |
| dc.type | text |