Publications [#302467] of Colleen M Robles

Papers Published

1. Robles, C; The, D, Rigid Schubert varieties in compact Hermitian symmetric spaces, Selecta Mathematica New Series, vol. 18 no. 3 (August, 2012), pp. 717-777, Springer Nature, ISSN 1022-1824 [doi]
   (last updated on 2026/01/15)

   Abstract:
   Given a singular Schubert variety X w in a compact Hermitian symmetric space X, it is a long-standing question to determine when X w is homologous to a smooth variety Y. We identify those Schubert varieties for which there exist first-order obstructions to the existence of Y. This extends (independent) work of M. Walters, R. Bryant and J. Hong. Key tools include (i) a new characterization of Schubert varieties that generalizes the well-known description of the smooth Schubert varieties by connected sub-diagrams of a Dynkin diagram and (ii) an algebraic Laplacian (à la Kostant), which is used to analyze the Lie algebra cohomology group associated with the problem. © 2012 Springer Basel AG.