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arXiv · 2104.12867

Test elements in equal characteristic semianalytic algebras

Zhan Jiang
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Abstract

We establish a series of results showing that the Jacobian ideal is contained in the test ideal. After proving a new result in characteristic $p$ for complete rings over a field $K$, we extend this containment to equal characteristic 0 for affine, analytic, affine-analytic and semianalytic $K$-algebras. We also prove a result on equiheight algebras essentially of finite type over excellent local rings.

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Zhan Jiang. 2021-04-26. Test elements in equal characteristic semianalytic algebras. https://arxiv.org/abs/2104.12867

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