Rigid Schubert varieties in compact Hermitian symmetric spaces
Publication
, Journal Article
Robles, C; The, D
Published in: Selecta Mathematica, New Series
August 1, 2012
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.
Duke Scholars
Published In
Selecta Mathematica, New Series
DOI
EISSN
1420-9020
ISSN
1022-1824
Publication Date
August 1, 2012
Volume
18
Issue
3
Start / End Page
717 / 777
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Robles, C., & The, D. (2012). Rigid Schubert varieties in compact Hermitian symmetric spaces. Selecta Mathematica, New Series, 18(3), 717–777. https://doi.org/10.1007/s00029-011-0082-y
Robles, C., and D. The. “Rigid Schubert varieties in compact Hermitian symmetric spaces.” Selecta Mathematica, New Series 18, no. 3 (August 1, 2012): 717–77. https://doi.org/10.1007/s00029-011-0082-y.
Robles C, The D. Rigid Schubert varieties in compact Hermitian symmetric spaces. Selecta Mathematica, New Series. 2012 Aug 1;18(3):717–77.
Robles, C., and D. The. “Rigid Schubert varieties in compact Hermitian symmetric spaces.” Selecta Mathematica, New Series, vol. 18, no. 3, Aug. 2012, pp. 717–77. Scopus, doi:10.1007/s00029-011-0082-y.
Robles C, The D. Rigid Schubert varieties in compact Hermitian symmetric spaces. Selecta Mathematica, New Series. 2012 Aug 1;18(3):717–777.
Published In
Selecta Mathematica, New Series
DOI
EISSN
1420-9020
ISSN
1022-1824
Publication Date
August 1, 2012
Volume
18
Issue
3
Start / End Page
717 / 777
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics