Polynomials with general C^2-fibers are variables. I
| dc.creator | Kaliman, Shulim | |
| dc.date | 1999-12-07 | |
| dc.date.accessioned | 2026-07-07T05:32:10Z | |
| dc.date.available | 2026-07-07T05:32:10Z | |
| dc.description | Suppose that X' is a smooth affine algebraic variety of dimension 3 with H_3(X')=0 which is a UFD and whose invertible functions are constants. Suppose that Z is a Zariski open subset of X which has a morphism p : Z -> U into a curve U such that all fibers of p are isomorphic to C^2. We prove that X' is isomorphic to C^3 iff none of irreducible components of X'-Z has non-isolated singularities. Furthermore, if X' is C^3 then p extends to a polynomial on C^3 which is linear in a suitable coordinate system. As a consequence we obtain the fact formulated in the title of the paper. | |
| dc.identifier | https://arxiv.org/abs/math/9912058 | |
| dc.identifier | http://arxiv.org/abs/math/9912058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79564 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E09 | |
| dc.title | Polynomials with general C^2-fibers are variables. I | |
| dc.type | text |