Rigid Schubert varieties in compact Hermitian symmetric spaces
Journal Article (Journal Article)
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.
Full Text
Duke Authors
Cited Authors
- Robles, C; The, D
Published Date
- August 1, 2012
Published In
Volume / Issue
- 18 / 3
Start / End Page
- 717 - 777
Electronic International Standard Serial Number (EISSN)
- 1420-9020
International Standard Serial Number (ISSN)
- 1022-1824
Digital Object Identifier (DOI)
- 10.1007/s00029-011-0082-y
Citation Source
- Scopus