Rational smoothness of varieties of representations for quivers of Dynkin type

Preprint

9 May 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0305149

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

REPRESENTATIONS FOR QUIVERS
RATIONAL SMOOTHNESS
RATIONALLY SMOOTH
ORBIT CLOSURES
DYNKIN TYPE
ORBITS
SMOOTH

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Version 1, 2003-05-09, ArXiv

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