Arithmetic invariants of pseudoreflection groups and regular graded algebras
Commutative Algebra
2022-05-30 v2
Abstract
The main result of this paper is a generalization of the theorem of Chevalley-Shephard-Todd to the rings of invariants of pseudoreflection groups over Dedekind domains. In the special case of a principal ideal domain in which the group order is invertible it is proved that this ring of invariants is isomorphic to a polynomial ring. An intermediate result is that every finitely generated regular graded algebra over a Dedekind domain is isomorphic to a tensor product of blowup algebras.
Cite
@article{arxiv.1711.08201,
title = {Arithmetic invariants of pseudoreflection groups and regular graded algebras},
author = {David Mundelius},
journal= {arXiv preprint arXiv:1711.08201},
year = {2022}
}
Comments
Section 2 rewritten, minor changes in the other sections, results unchanged, 18 pages