Add to ORKGNagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invariants of an algebraic group action on an affine algebraic variety is not always finitely generated. In some sense, however, invariant rings are not far from affine. Indeed, invariant rings are always quasi-affine, and there always exist finite separating sets. In this paper, we give a new method for finding a quasi-affine variety on which the ring of regular functions is equal to a given invariant ring, and we give a criterion to recognize separating algebras. The method and criterion are used on some known examples and in a new construction
We consider an arbitrary representation of the additive group GaGa over a field of characteristic...
This article gives the first explicit example of a finite separating set in an invariant ring which ...
AbstractWe describe an algorithm which computes the invariants of all Ga-actions on affine varieties...
Nagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invariants of ...
AbstractNagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invari...
The first part of this paper is a refinement of Winkelmann's work on invariant rings and quotients o...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm f...
This paper studies separating subsets of an invariant ring or, more generally, of any set consisting...
AbstractThis paper studies separating subsets of an invariant ring or, more generally, of any set co...
We study separating algebras for rings of invariants of finite groups. We give an algebraic characte...
In the case of finite groups, a separating algebra is a subalgebra of the ring of invariants which s...
The study of separating invariants is a recent trend in invariant theory. For a finite group acting ...
A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elements dis...
AbstractA separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elem...
We consider an arbitrary representation of the additive group GaGa over a field of characteristic...
This article gives the first explicit example of a finite separating set in an invariant ring which ...
AbstractWe describe an algorithm which computes the invariants of all Ga-actions on affine varieties...
Nagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invariants of ...
AbstractNagata’s famous counterexample to Hilbert’s fourteenth problem shows that the ring of invari...
The first part of this paper is a refinement of Winkelmann's work on invariant rings and quotients o...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm f...
This paper studies separating subsets of an invariant ring or, more generally, of any set consisting...
AbstractThis paper studies separating subsets of an invariant ring or, more generally, of any set co...
We study separating algebras for rings of invariants of finite groups. We give an algebraic characte...
In the case of finite groups, a separating algebra is a subalgebra of the ring of invariants which s...
The study of separating invariants is a recent trend in invariant theory. For a finite group acting ...
A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elements dis...
AbstractA separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elem...
We consider an arbitrary representation of the additive group GaGa over a field of characteristic...
This article gives the first explicit example of a finite separating set in an invariant ring which ...
AbstractWe describe an algorithm which computes the invariants of all Ga-actions on affine varieties...