Flatness of the linked Grassmannian

2006/05/15 by David Helm, Helm, David, Brian Osserman +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Mathematics and Applications #Point processes and geometric inequalities #math.AG #msc:14G35 #msc:14H51 #msc:14M15

paper · pdf · doi:10.48550/arxiv.math/0605373

8 pages

arxiv created 2006/05/15 · arxiv updated 2009/12/01

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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• Degenerations of maps to projective spaces

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