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arxiv: 1709.09237 · v1 · pith:GFFZXMI6new · submitted 2017-09-26 · 🧮 math.AG

Automorphisms of Danielewski varieties

classification 🧮 math.AG
keywords danielewskivarietiesautomorphismssurfacesarbitraryautomorphismcancellationcounterexamples
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In 2007, Dubouloz introduced Danielewski varieties. Such varieties generalize Danielewski surfaces and provide counterexamples to generalized Zariski cancellation problem in arbitrary dimension. In the present work we describe the automorphism group of a Danielewski variety. This result is a generalization of a description of automorphisms of Danielewski surfaces due to Makar-Limanov.

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