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Automorphism groups of Koras–Russell threefolds of the second kind

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Abstract

We determine the automorphism groups of Koras–Russell threefolds of the second kind. In particular we show that these groups are semi-direct products of two subgroups, one given by the multiplicative group and the other isomorphic to a polynomial ring in two variables with the addition law. We also show that these groups are generated by algebraic subgroups isomorphic to \(\mathbb {G}_{m}\) and \(\mathbb {G}_{a}\).

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Correspondence to Charlie Petitjean.

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Petitjean, C. Automorphism groups of Koras–Russell threefolds of the second kind. Beitr Algebra Geom 57, 599–605 (2016). https://doi.org/10.1007/s13366-016-0282-x

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