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

Year: 2026

Type: article

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].

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17539

Authors: Parnashree Ghosh, Ananya Pal

Institutions: Tata Institute of Fundamental Research, National Research University Higher School of Economics

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7124286076

FWCI: 10.61

Cites: 16

Cited by: 1

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