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arXiv · 2511.20350

Dimension Polynomials for Affine Partial Difference Algebraic Groups

Orla McGrath
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Abstract

We develop the theory of difference algebraic groups in the case where we have finitely many pairwise commuting difference operators. We show that the defining ideal of a difference algebraic group is finitely generated as a difference ideal, and this result allows us to prove the existence of a dimension polynomial for any partial difference algebraic group.

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Orla McGrath. 2025-11-25. Dimension Polynomials for Affine Partial Difference Algebraic Groups. https://arxiv.org/abs/2511.20350

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