One quiver to rule them all
环与代数
2007-05-23 v1 代数几何
摘要
To a formally smooth algebra A we associate a quiver setting (Q,a) containing enough information to reconstruct all the local quiver settings determining the etale local structure of finite dimensional representation schemes of A, see math.AG/9904171. Conjecturally, in a (yet to be developed) non-commutative etale topology, A is locally isomorphic to an algebra B which in turn is Morita equivalent (via the dimension vector a) to the path algebra CQ of the quiver Q.
引用
@article{arxiv.math/0304196,
title = {One quiver to rule them all},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:math/0304196},
year = {2007}
}