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

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 ( <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="greater-than-or-slanted-equals 3"> <mml:semantics> <mml:mrow> <mml:mo> ⩾ </mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">\geqslant 3</mml:annotation> </mml:semantics> </mml:math> </inline-formula> ), 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].