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arXiv · 2412.02691

Chow-Lam Recovery

Elizabeth Pratt·Kristian Ranestad
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Abstract

We study the conditions under which a subvariety of the Grassmannian may be recovered from certain of its linear projections. In the special case that our Grassmannian is projective space, this is equivalent to asking when a variety can be recovered from its Chow form; the answer is "always" by work of Chow in 1937. In the general Grassmannian setting, the analogous question is when a variety can be recovered from its Chow-Lam form. We give both necessary conditions for recovery and families of examples where, in contrast with the projective case, recovery is not possible.

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BibTeXRIS

Elizabeth Pratt, Kristian Ranestad. 2024-12-04. Chow-Lam Recovery. https://arxiv.org/abs/2412.02691

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