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Details for article 11 of 24 found articles
| Title: |
Group Actions, k-Derivations, and Finite Morphisms |
| Author: |
Bonnet, Philippe |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 10 pages 3944-3953 |
| Year: |
2008-10 |
| Contents: |
Let G be an affine algebraic group over an algebraically closed field k of characteristic zero. In this article, we consider finite G-equivariant morphisms F:X → Y of irreducible affine G-varieties. First we determine under which conditions on Y the induced map FG:X//G → Y//G of quotient varieties is also finite. This result is reformulated in terms of kernels of derivations on k-algebras A ⊂ B such that B is integral over A. Second we construct explicitly two examples of finite G-equivariant maps F. In the first one, FG is quasifinite but not finite. In the second one, FG is not even quasifinite. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 11 of 24 found articles
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