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arxiv: math/0605373 · v1 · submitted 2006-05-15 · 🧮 math.AG

Flatness of the linked Grassmannian

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keywords grassmannianlimitlinearlinkedseriesspacesapplicationarises
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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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