On Noether's Degree Bound for Finite Group Schemes
Commutative Algebra
2025-06-02 v1
Abstract
This paper establishes Noether's classical degree bound for finite and linearly reductive group schemes. On the other hand, we provide examples of infinitesimal group schemes where is unbounded. We also generalize Molien's formula to finite and linearly reductive group schemes.
Cite
@article{arxiv.2505.24752,
title = {On Noether's Degree Bound for Finite Group Schemes},
author = {Gregor Kemper and Christian Liedtke and Christiane Ott},
journal= {arXiv preprint arXiv:2505.24752},
year = {2025}
}