paper

Reductivity properties over an affine base

arXiv:1910.13749 · doi:10.1016/j.indag.2020.09.009

Abstract

When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately tied with finite generation of subrings of invariants. Geometric reductivity is weaker and less pertinent in this context. We give a survey of these properties and their connections.

6 pages; Dedicated to the memory of T.A. Springer

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