Abstract
In 1994, based on Roberts’ counterexample to Hilbert’s fourteenth problem, A’Campo-Neuen constructed an example of a linear action of a 12-dimensional commutative unipotent group H 0 on a 19-dimensional vector space V such that the algebra of invariants k [ V ] H 0 is not finitely generated. We consider a certain extension H of H 0 by a one-dimensional torus and prove that H is epimorphic in SL ( V ) . In particular, the homogeneous space SL ( V ) / H provides a new example of a homogeneous space with epimorphic stabilizer that admits no projective embeddings with small boundary.
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