English

Flatness of the linked Grassmannian

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0605373,
  title  = {Flatness of the linked Grassmannian},
  author = {David Helm and Brian Osserman},
  journal= {arXiv preprint arXiv:math/0605373},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T17:35:51.088Z