Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety - Mathematics > Representation TheoryReport as inadecuate




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Abstract: We give a pattern avoidance criterion to classify the orbits of Spp,C xSpq,C resp. GLn,C on the flag variety of type C {p+q} resp. D n withrationally smooth closure. We show that all such orbit closures fiber withsmooth fiber over a smaller flag variety, and hence are in fact smooth. Inaddition we prove that the classification is insensitive to isogeny.



Author: William M. McGovern, Peter E. Trapa

Source: https://arxiv.org/







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