Rational smoothness of varieties of representations for quivers of Dynkin type
Representation Theory
2007-05-23 v1 Algebraic Geometry
Abstract
With the help of Lusztig's canonical basis, we study local intersection cohomology of the Zariski closures of orbits of representations of a quiver of type A, D or E. In particular, we characterize the rationally smooth orbits and prove that orbit closures are smooth if and only if they are rationally smooth. This provides an analogue of theorems of V. Deodhar, and J. Carrell and D. Peterson on Schubert varieties.
Keywords
Cite
@article{arxiv.math/0305149,
title = {Rational smoothness of varieties of representations for quivers of Dynkin type},
author = {Philippe Caldero and Ralf Schiffler},
journal= {arXiv preprint arXiv:math/0305149},
year = {2007}
}
Comments
15 pages