On the minimal compactification of a polynomial in two variables
| dc.creator | Vistoli, Angelo | |
| dc.date | 1999-04-08 | |
| dc.date | 1999-08-02 | |
| dc.date.accessioned | 2026-07-07T05:28:38Z | |
| dc.date.available | 2026-07-07T05:28:38Z | |
| dc.description | Consider a primitive polynomial $f$ in two variables, thought of as a map from the affine plane to the affine line. We study the minimimal compactification of $f$; from our result one deduces in particular that if one of the fibers of $f$ has only one fiber at infinity, then all the fibers of $f$ have a simultaneous resolution of singularities at infinity. From this one gets a very simple proof of the Suzuki-Abhyankar-Moh theorem on the embeddings of the affine line in the plane. | |
| dc.description | Plain TeX, 5 pages. Added some references | |
| dc.identifier | https://arxiv.org/abs/math/9904035 | |
| dc.identifier | http://arxiv.org/abs/math/9904035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78334 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the minimal compactification of a polynomial in two variables | |
| dc.type | text |