Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493574 | Journal of Algebra | 2005 | 25 Pages |
Abstract
We investigate smooth affine surfaces with Gm-actions and Aâ1-fibrations. We consider a smooth affine surface with an untwisted Aâ1-fibration over the affine line, and obtain a characterization of the fibration is unique in terms of the boundary divisor of the surface. As an application of the characterization, we know that a smooth affine surface admitting two independent Gm-actions is isomorphic to Aâ1ÃAâ1 or A1ÃAâ1 unless S has an A1-fibration over A1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ryuji Tanimoto,