Generating sets for coordinate rings of character varieties
Algebraic Geometry
2015-05-27 v4 Representation Theory
Abstract
We find finite, reasonably small, generator sets of the coordinate rings of G-character varieties of finitely generated groups for all classical groups G. This result together with the method of Grobner basis gives an algorithm for describing character varieties by explicit polynomial equations. Additionally, we describe finite sets of generators of the fields of rational functions on G-character varieties for all exceptional algebraic groups G.
Cite
@article{arxiv.1106.4837,
title = {Generating sets for coordinate rings of character varieties},
author = {Adam S. Sikora},
journal= {arXiv preprint arXiv:1106.4837},
year = {2015}
}
Comments
to appear in Journal of Pure and Applied Algebra, 18 pages, no figures