Spaltenstein varieties of pure dimension
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- by Yiqiang Li PDF
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Abstract:
We show that Spaltenstein varieties of classical groups are pure dimensional when the Jordan-type of the nilpotent element involved is an even or odd partition. We further show that they are Lagrangian in the partial resolutions of the associated nilpotent Slodowy slices, from which their dimensions are known to be one half of the dimension of the partial resolution minus the dimension of the nilpotent orbit. The results are then extended to the $\sigma$-quiver-variety setting.References
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Additional Information
- Yiqiang Li
- Affiliation: Department of Mathematics, University at Buffalo, the State University of New York, Buffalo, New York 14260
- MR Author ID: 828279
- ORCID: 0000-0003-4608-3465
- Email: yiqiang@buffalo.edu
- Received by editor(s): January 2, 2019
- Received by editor(s) in revised form: April 3, 2019, April 28, 2019, April 30, 2019, and May 6, 2019
- Published electronically: August 7, 2019
- Additional Notes: This work was partly supported by the NSF grant DMS 1801915.
- Communicated by: Kailash C. Misra
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 133-144
- MSC (2010): Primary 14L35, 20G07, 51N30, 53D05
- DOI: https://doi.org/10.1090/proc/14726
- MathSciNet review: 4042837
Dedicated: In memory of my uncle Renyi Huang