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.
Original language | English |
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Pages (from-to) | 657-670 |
Number of pages | 14 |
Journal | Transformation Groups |
Volume | 12 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2007 |