Schubert varieties and finite free resolutions of length three
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- by Steven V Sam and Jerzy Weyman PDF
- Proc. Amer. Math. Soc. 149 (2021), 1943-1955 Request permission
Abstract:
In this paper we describe the relationship between the finite free resolutions of perfect ideals in split format (for Dynkin formats) and certain intersections of opposite Schubert varieties with the big cell for homogeneous spaces $G/P$, where $P$ is a maximal parabolic subgroup.References
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Additional Information
- Steven V Sam
- Affiliation: Department of Mathematics, University of California at San Diego, La Jolla, California 92093
- MR Author ID: 836995
- ORCID: 0000-0003-1940-9570
- Email: ssam@ucsd.edu
- Jerzy Weyman
- Affiliation: Department of Mathematics, University of Connecticut, Storrs, Conneticut 06269; and Uniwersytet Jagielloński, Kraków, Poland
- MR Author ID: 182230
- ORCID: 0000-0003-1923-0060
- Email: jerzy.weyman@uconn.edu, jerzy.weyman@uj.edu.pl
- Received by editor(s): May 8, 2020
- Received by editor(s) in revised form: September 14, 2020
- Published electronically: March 1, 2021
- Additional Notes: The first author was partially supported by the NSF grant DMS-1849173.
The second author was partially supported by the NSF grant DMS 1802067 and by the grant from Narodowa Agencja Wymiany Akademickiej NAWA in Poland. - Communicated by: Claudia Polini
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 1943-1955
- MSC (2020): Primary 13D02, 13H10, 14M15
- DOI: https://doi.org/10.1090/proc/15347
- MathSciNet review: 4232188
Dedicated: Dedicated to Laurent Gruson with thanks for his guidance and friendship