Cargando…
An algebraic proof of a cancellation theorem for surfaces
Let $\K$ be an algebraically closed field of arbitrary characteristic. We give a short self-contained algebraic proof of the following statement: If the cylinder over an affine surface (i. e. the product of our surface and an affine line) over $\K$ is (isomorphic to) an affine space then the surface...
| Autores principales: | , |
|---|---|
| Lenguaje: | eng |
| Publicado: |
2005
|
| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/905059 |
| Sumario: | Let $\K$ be an algebraically closed field of arbitrary characteristic. We give a short self-contained algebraic proof of the following statement: If the cylinder over an affine surface (i. e. the product of our surface and an affine line) over $\K$ is (isomorphic to) an affine space then the surface is (isomorphic to) an affine plane. |
|---|