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

Proceedings of the American Mathematical Society 2026

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Authors: Parnashree Ghosh, Ananya Pal
DOI: 10.1090/proc/17539
Cited by: 1
References: 16

Abstract

In this paper, we exhibit a new infinite family of counterexamples to the Zariski Cancellation Problem over a field of positive characteristic, in higher dimensions ( ⩾ 3 \geqslant 3 ), which are pairwise non-isomorphic and also non-isomorphic to the existing family of counterexamples, demonstrated by Gupta in [Adv. Math. 264 (2014), pp. 296–307].

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Advanced Topics in Algebra Rings Modules and Algebras

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Volume
154
Issue
3
Pages
1007–1019
Publication date
15 January 2026
Language
EN