On Moduli Spaces for Abelian Categories
Algebraic Geometry
2012-01-04 v1 Representation Theory
Abstract
We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories.
Cite
@article{arxiv.0711.0793,
title = {On Moduli Spaces for Abelian Categories},
author = {Vyacheslav Futorny and Marcos Jardim and Adriano Moura},
journal= {arXiv preprint arXiv:0711.0793},
year = {2012}
}
Comments
To appear in Communications in Algebra, 18 pages