Abstract

Building on work of Brenner and Monsky from 2010 and on a Hilbert–Kunz calculation of Monsky from 1998, we exhibit a novel example of a hypersurface over F2‾ in which tight closure does not commute with localization. Our methods involve a tiling argument using Sierpiński triangles, as well as an inspection of a certain dynamical system in characteristic two.

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