摘要翻译:
部分标志簇G/P的全非负部分已被第一作者证明为半代数胞的并集。此外,她还表明细胞的闭合是较小细胞的结合。在这篇文章中,我们给出了每个细胞的胶合图来证明G/P的完全非负部分是CW复合物。这推广了Postnikov、Speyer和第二作者对Grassmannians的一个结果。
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英文标题:
《The totally nonnegative part of G/P is a CW complex》
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作者:
Konstanze Rietsch, Lauren Williams
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
The totally nonnegative part of a partial flag variety G/P has been shown by the first author to be a union of semi-algebraic cells. Moreover she showed that the closure of a cell is the union of smaller cells. In this note we provide glueing maps for each of the cells to prove that the totally nonnegative part of G/P is a CW complex. This generalizes a result of Postnikov, Speyer and the second author for Grassmannians.
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PDF链接:
https://arxiv.org/pdf/0802.0889