The Grassmannian Variety: Geometric and Representation-Theoretic Aspects

The Grassmannian Variety: Geometric and Representation-Theoretic Aspects
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格拉斯曼变体:几何和表示理论方面

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
J. Brown
J. Brown
中科院分区:
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文献类型:
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作者:
V. Lakshmibai;J. Brown

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前言-1.前言--第一部分:代数几何--简要回忆--2.预备材料.-3.上同调理论.-4.Grobner基.-第二部分.Grassmanian和Schubert簇.-5.Grassman及其Schubert簇.-6.Schubert簇的进一步几何性质.-7.平坦退化.-第三部分.旗帜变种和相关变种.-8.旗帜变种:几何和表示--理论方面.-9.与经典不变理论的关系.-10.定义变种.-11.相关论题.参考文献.-符号列表.-索引.
Preface.- 1. Introduction.- Part I. Algebraic Geometry-A Brief Recollection - 2. Preliminary Material.- 3. Cohomology Theory.- 4. Grobner Bases.- Part II. Grassmannian and Schubert Varieties.- 5. The Grassmannian and Its Schubert Varieties.- 6. Further Geometric Properties of Schubert Varieties.- 7. Flat Degenerations.- Part III. Flag Varieties and Related Varieties.- 8. The Flag Variety: Geometric and Representation-Theoretic Aspects.- 9. Relationship to Classical Invariant Theory.- 10. Determinantal Varieties.- 11. Related Topics.- References.- List of Symbols.- Index.