The Computation of Invariant Fields and a Constructive Version of a Theorem by Rosenlicht |
| |
Authors: | Gregor Kemper |
| |
Institution: | (1) Technische Universitat Munchen, Zentrum Mathematik-M11, Boltzmannstr. 3, 85 748 Garching, Germany |
| |
Abstract: | Let G be an algebraic group acting on an irreducible variety X. We present an algorithm for computing the invariant field
k(X)G. Moreover, we give a constructive version of a theorem of Rosenlicht, which says that almost all orbits can be separated
by rational invariants. More precisely, we give an algorithm for computing a nonempty open subset of X with a geometric quotient. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|