Flatness of the linked Grassmannian
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- by David Helm and Brian Osserman PDF
- Proc. Amer. Math. Soc. 136 (2008), 3383-3390 Request permission
Abstract:
We show that the linked Grassmannian scheme, which arises in a functorial compactification of spaces of limit linear series, and in local models of certain Shimura varieties, is Cohen-Macaulay, reduced, and flat. We give an application to spaces of limit linear series.References
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Additional Information
- David Helm
- Affiliation: Department of Mathematics, The University of Texas at Austin, 1 University Station, C1200, Austin, Texas 78712
- Email: dhelm@math.utexas.edu
- Brian Osserman
- Affiliation: Department of Mathematics, University of California, Davis, One Shields Avenue, Davis, California 95616
- MR Author ID: 722512
- Email: osserman@math.ucdavis.edu
- Received by editor(s): May 16, 2006
- Received by editor(s) in revised form: August 16, 2006
- Published electronically: May 15, 2008
- Additional Notes: The first author was supported by a fellowship from the NSF
The second author was supported by fellowships from the Clay Mathematics Institute and the NSF during the preparation of this paper. - Communicated by: Ted Chinburg
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3383-3390
- MSC (2000): Primary 14M15; Secondary 14H51, 14G35
- DOI: https://doi.org/10.1090/S0002-9939-08-08959-4
- MathSciNet review: 2415019