Moduli spaces of modules of Schur-tame algebras
Representation Theory
2014-07-30 v1
Abstract
In this paper, we first show that for an acyclic gentle algebra A, the irreducible components of any moduli space of A-modules are products of projective spaces. Next, we show that the nice geometry of the moduli spaces of modules of an algebra does not imply the tameness of the representation type of the algebra in question. Finally, we place these results in the general context of moduli spaces of modules of Schur-tame algebras. More specifically, we show that for an arbitrary Schur-tame algebra A and theta-stable irreducible component C of a module variety of A-modules, the moduli space of theta-semi-stable points of C is either a point or a rational projective curve.
Keywords
Cite
@article{arxiv.1407.7775,
title = {Moduli spaces of modules of Schur-tame algebras},
author = {Andrew T. Carroll and Calin Chindris},
journal= {arXiv preprint arXiv:1407.7775},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1210.3579