Embeddings of generalized Danielewski surfaces in affine spaces

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We construct explicit embeddings of generalized Danielewski surfaves in
affine spaces. The equations defining these embeddings are obtained from the
2x2 minors of a matrix attached to a labelled rooted tree. Then we describe
more precisely those surfaces with a trivial Makar-Limanov invariant.

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