Publications [#302474] of Colleen M Robles

Papers Published

1. Robles, C, Singular loci of cominuscule Schubert varieties, Journal of Pure and Applied Algebra, vol. 218 no. 4 (April, 2014), pp. 745-759, Elsevier BV, ISSN 0022-4049 [doi]
   (last updated on 2026/01/16)

   Abstract:
   Let X = G/ P be a cominuscule rational homogeneous variety. Equivalently, X admits the structure of a compact Hermitian symmetric space. I give a uniform description (that is, independent of type) of the irreducible components of the singular locus of a Schubert variety Y⊂ X in terms of representation theoretic data. The result is based on a recent characterization of the Schubert varieties using an integer a≥ 0 and a marked Dynkin diagram. Corollaries include: (1) the variety is smooth if and only if a= 0; (2) if G is of type ADE, then the singular locus occurs in codimension at least 3. © 2013 Elsevier B.V.