Initial degenerations of spinor varieties

European Journal of Mathematics(2024)

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摘要
We construct closed immersions from initial degenerations of the spinor variety 𝕊_n to inverse limits of strata associated to even Δ -matroids. As an application, we prove that these initial degenerations are smooth and irreducible for n⩽ 5 and identify the log canonical model of the Chow quotient of 𝕊_5 by the action of the diagonal torus of GL(5) .
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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Delta $$\end{document} -matroids
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