Embeddings of generalized Danielewski surfaces in affine spaces

2004/03/12 by Adrien Dubouloz, Dubouloz, Adrien
Mathematics · #14J26 #14R05 #14R20 #14R25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J26 #msc:14R05 #msc:14R20 #msc:14R25

paper · pdf · doi:10.48550/arxiv.math/0403208

arxiv created 2004/03/12 · arxiv updated 2009/12/01

Abstract

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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