Reducedness of affine Grassmannian slices in type A
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- by Joel Kamnitzer, Dinakar Muthiah, Alex Weekes and Oded Yacobi PDF
- Proc. Amer. Math. Soc. 146 (2018), 861-874 Request permission
Abstract:
We prove in type A a conjecture which describes the ideal of transversal slices to spherical Schubert varieties in the affine Grassmannian. As a corollary, we prove a modular description (due to Finkelberg-Mirković) of the spherical Schubert varieties.References
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Additional Information
- Joel Kamnitzer
- Affiliation: Department of Mathematics, University of Toronto, Canada
- MR Author ID: 676374
- Email: jkamnitz@math.toronto.edu
- Dinakar Muthiah
- Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Canada
- Address at time of publication: Department of Mathematics and Statistics, University of Massachusetts, Amherst, United States
- MR Author ID: 1016100
- Email: muthiah@math.umass.edu
- Alex Weekes
- Affiliation: Perimeter Institute for Theoretical Physics, Canada
- MR Author ID: 1074676
- Email: aweekes@perimeterinstitute.ca
- Oded Yacobi
- Affiliation: School of Mathematics and Statistics, University of Sydney, Australia
- MR Author ID: 770448
- Email: oded.yacobi@sydney.edu.au
- Received by editor(s): December 8, 2016
- Published electronically: November 6, 2017
- Communicated by: Alexander Braverman
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 861-874
- MSC (2010): Primary 22E67, 14M15
- DOI: https://doi.org/10.1090/proc/13850
- MathSciNet review: 3731717