A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic

Parnashree Ghosh; Ananya Pal

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arXiv · 2404.13803

A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic

Parnashree Ghosh·Ananya Pal

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Abstract

In this paper, over a field of positive characteristic we exhibit an infinite family of counter examples to the Zariski Cancellation Problem in higher dimensions ($\geqslant 3$) which are pairwise non-isomorphic and also non-isomorphic to the existing family of counter examples, demonstrated by Gupta in \cite{adv}.

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Parnashree Ghosh, Ananya Pal. 2024-04-22. A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic. https://arxiv.org/abs/2404.13803

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