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A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic

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Abstract

We prove an explicit uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic. Our strategy relies on the introduction of a new type of differential powers that does not require the existence of a p-derivation on the direct summand.

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Acknowledgements

We thank Linquan Ma for pointing out that our proofs of Theorems 3.2 and 3.3 were yielding stronger results than the ones originally stated. The second author was partially supported by NSF Grant DMS #2001445, now #2140355. The third author was partially supported by NSF CAREER Grant DMS #2044833.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genoa, Italy

    Alessandro De Stefani

  2. Department of Mathematics, University of Nebraska, Lincoln, NE, 68588-0130, USA

    Eloísa Grifo & Jack Jeffries

Authors
  1. Alessandro De Stefani
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  2. Eloísa Grifo
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  3. Jack Jeffries
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Correspondence to Jack Jeffries.

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De Stefani, A., Grifo, E. & Jeffries, J. A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic. Math. Z. 301, 4141–4151 (2022). https://doi.org/10.1007/s00209-022-03035-2

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  • DOI: https://doi.org/10.1007/s00209-022-03035-2

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