Rational smoothness of varieties of representations for quivers of Dynkin type
Schiffler, Ralf ; Caldero, Philippe
HAL, hal-00120664 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00120664,
     author = {Schiffler, Ralf and Caldero, Philippe},
     title = {Rational smoothness of varieties of representations for quivers of Dynkin type},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00120664}
}

Schiffler, Ralf; Caldero, Philippe. Rational smoothness of varieties of representations for quivers of Dynkin type. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00120664/