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Flatness of the linked Grassmannian

David Helm·Brian Osserman
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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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David Helm, Brian Osserman. 2006-05-15. Flatness of the linked Grassmannian. https://arxiv.org/abs/math/0605373

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