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Adali, Riza Seckin (2018). Singularities of Restriction Varieties in OG(k, n). Communications in Algebra.
ISSN 00927872.
46(8) . doi:
10.1080/00927872.2017.1412448
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Restriction varieties in the orthogonal Grassmannian are subvarieties of OG(k,n) defined by rank conditions given by a flag that is not necessarily isotropic with respect to the relevant symmetric bilinear form. In particular, Schubert varieties of Type B and D are examples of restriction varieties. In this paper, we introduce a resolution of singularities for restriction varieties in OG(k, n), and give a description of their singular locus by studying components of the exceptional locus of the resolution.
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Published Sep. 16, 2016 11:23 AM
 Last modified May 1, 2017 1:23 AM