Universal equations for maximal isotropic Grassmannians

The isotropic Grassmannian parametrizes isotropic subspaces of a vector space equipped with a quadratic form. In this paper, we show that any maximal isotropic Grassmannian in its Pl\"ucker embedding can be defined by pulling back the equations of \(Gr_{\operatorname{iso}}(3,7)\) or \(Gr_{\oper...

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Bibliographic Details
Published in:arXiv.org 2023-08
Main Authors: Seynnaeve, Tim, Tairi, Nafie
Format: Article
Language:English
Subjects:
Mathematical analysis
Subspaces
Online Access:Get full text
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Summary:The isotropic Grassmannian parametrizes isotropic subspaces of a vector space equipped with a quadratic form. In this paper, we show that any maximal isotropic Grassmannian in its Pl\"ucker embedding can be defined by pulling back the equations of \(Gr_{\operatorname{iso}}(3,7)\) or \(Gr_{\operatorname{iso}}(4,8)\).
ISSN:2331-8422