Relative support varieties
Representation Theory
2008-04-10 v1 K-Theory and Homology
Abstract
We define relative support varieties with respect to some fixed module over a finite dimensional algebra. These varieties share many of the standard properties of classical support varieties. Moreover, when introducing finite generation conditions on cohomology, we show that relative support varieties contain homological information on the modules involved. As an application, we provide a new criterion for a selfinjective algebra to be of wild representation type.
Cite
@article{arxiv.0804.1407,
title = {Relative support varieties},
author = {Petter Andreas Bergh and Øyvind Solberg},
journal= {arXiv preprint arXiv:0804.1407},
year = {2008}
}
Comments
10 pages