{"title":"Universal equations for maximal isotropic Grassmannians","authors":"Tim Seynnaeve, Nafie Tairi","doi":"10.1016/j.jsc.2023.102260","DOIUrl":null,"url":null,"abstract":"<div><p>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 Plücker embedding can be defined by pulling back the equations of <span><math><mi>G</mi><msub><mrow><mi>r</mi></mrow><mrow><mi>iso</mi></mrow></msub><mo>(</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></span> or <span><math><mi>G</mi><msub><mrow><mi>r</mi></mrow><mrow><mi>iso</mi></mrow></msub><mo>(</mo><mn>4</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></span>.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0747717123000743","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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 Plücker embedding can be defined by pulling back the equations of or .
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