English

Algebraic Independence in SL(3,C) Character Varieties of Free Groups

Algebraic Geometry 2010-08-10 v2 Commutative Algebra Differential Geometry

Abstract

Let X be the moduli space of SL(3,C) representations of a free group of rank r. In this paper we describe maximal algebraically independent subsets of certain minimal sets of coordinate functions on X. These subsets locally parametrize the moduli space.

Keywords

Cite

@article{arxiv.0807.0798,
  title  = {Algebraic Independence in SL(3,C) Character Varieties of Free Groups},
  author = {Sean Lawton},
  journal= {arXiv preprint arXiv:0807.0798},
  year   = {2010}
}

Comments

13 pages, v2 contains minor changes