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摘要翻译：
超曲面簇是四元数簇的类似簇，它与拟阵组合的相互作用以及在迅速发展的代数辛和超Kahler几何领域中的突出地位都是非常重要的。本调查的目的是给出明确的定义和已知结果的陈述，既作为参考，也作为这一美丽主题的切入点。
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英文标题：
《A survey of hypertoric geometry and topology》
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作者：
Nicholas J. Proudfoot
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最新提交年份：
2007
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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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一级分类：Mathematics 数学
二级分类：Combinatorics 组合学
分类描述：Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
离散数学，图论，计数，组合优化，拉姆齐理论，组合对策论
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英文摘要：
Hypertoric varieties are quaternionic analogues of toric varieties, important for their interaction with the combinatorics of matroids as well as for their prominent place in the rapidly expanding field of algebraic symplectic and hyperkahler geometry. The aim of this survey is to give clear definitions and statements of known results, serving both as a reference and as a point of entry to this beautiful subject.
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PDF链接：
https://arxiv.org/pdf/0705.4236
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