Projective Rational Smoothness of Varieties of Representations for Quivers of Type A
نویسنده
چکیده
Let U+ be the positive part of the quantized enveloping algebra U of type An. The change of basis between canonical, and PBW-basis of U+ has a geometric interpretation in terms of local intersection cohomology of some affine algebraic varieties, namely the Zariski closures of orbits of representations of a quiver of type An. In this paper we study the local rational smoothness of these orbit closures and, in particular, the rational smoothness of their projectivization.
منابع مشابه
Rational Smoothness of Varieties of Representations for Quivers of Type A
In this paper, the authors study when the closure (in the Zariski topology) of orbits of representations of quivers of type A are rationally smooth. This is done by considering the corresponding quantized enveloping algebra U and studying the action of the bar involution on PBW bases. Using Ringel’s Hall algebra approach to quantized enveloping algebras and also AuslanderReiten quivers, we can ...
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تاریخ انتشار 2003