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arXiv · 2111.13170

Universal equations for maximal isotropic Grassmannians

Tim Seynnaeve·Nafie Tairi
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Abstract

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 $Gr_{\operatorname{iso}}(4,8)$.

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Tim Seynnaeve, Nafie Tairi. 2021-11-25. Universal equations for maximal isotropic Grassmannians. https://arxiv.org/abs/2111.13170

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