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

TL;DR

This paper establishes a uniform Chevalley theorem for direct summands of graded polynomial rings in mixed characteristic, introducing a novel approach using differential powers that do not depend on p-derivations.

Contribution

It presents a new uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic, utilizing innovative differential powers without requiring p-derivations.

Findings

Proves a uniform Chevalley theorem in mixed characteristic

Introduces a new type of differential powers

Does not require p-derivations for the approach

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, which do not require the existence of a p-derivation on the direct summand.