English

Reductivity properties over an affine base

Representation Theory 2020-10-12 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1910.13749,
  title  = {Reductivity properties over an affine base},
  author = {Wilberd van der Kallen},
  journal= {arXiv preprint arXiv:1910.13749},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T11:59:18.565Z