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Flatness of the linked Grassmannian
Author(s):
David
Helm;
Brian
Osserman
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3383-3390.
MSC (2000):
Primary 14M15;
Secondary 14H51, 14G35
Posted:
May 15, 2008
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Additional information
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.
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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
Email:
osserman@math.ucdavis.edu
DOI:
10.1090/S0002-9939-08-08959-4
PII:
S 0002-9939(08)08959-4
Received by editor(s):
May 16, 2006,
Received by editor(s) in revised form:
August 16, 2006
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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