Ueber die Tiefe von Invariantenringen unendlicher Gruppen
Commutative Algebra
2007-11-30 v1
Abstract
Let K be an algebraically closed field. For a graded K-Algebra R, we write cmdef R:=dim R -depth R. We show that for each reductive group G (over K) which is not linearly reductive, there exists a faithful G-module V such that cmdef K[\sum_i=1^k V]^G >= k-2 for all k. We will give such a V explicitly.
Keywords
Cite
@article{arxiv.0711.4730,
title = {Ueber die Tiefe von Invariantenringen unendlicher Gruppen},
author = {Martin Kohls},
journal= {arXiv preprint arXiv:0711.4730},
year = {2007}
}
Comments
148 pages, Doktorarbeit (i.e. Ph. D. thesis)