On Generalised Danielewski and Asanuma varieties

Parnashree Ghosh; Neena Gupta

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arXiv · 2208.14238

On Generalised Danielewski and Asanuma varieties

Parnashree Ghosh·Neena Gupta

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Abstract

In this paper we extend a result of Dubouloz on the Cancellation Problem in higher dimensions ($\geqslant 2$) over the field of complex numbers to fields of arbitrary characteristic. We then apply the generalised result to describe the Makar-Limanov and Derksen invariant of generalised Asanuma varieties under certain hypotheses. We also establish a necessary and sufficient condition for certain generalised Asanuma varieties to be isomorphic to polynomial rings.

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Parnashree Ghosh, Neena Gupta. 2022-08-30. On Generalised Danielewski and Asanuma varieties. https://arxiv.org/abs/2208.14238

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