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Mathematics > Commutative Algebra

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

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}.
Subjects: Commutative Algebra (math.AC)
MSC classes: Primary: 14R10, Secondary: 13B25, 13A50, 13A02
Cite as: arXiv:2404.13803 [math.AC]
  (or arXiv:2404.13803v1 [math.AC] for this version)

Submission history

From: Parnashree Ghosh [view email]
[v1] Mon, 22 Apr 2024 00:00:48 GMT (12kb)

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