摘要翻译:
对于颤振稳定表示的任意模空间,构造了模空间上的某些光滑变体--紧致射影空间纤维。分析了这种压实的边界。导出了光滑模型Betti数的显式公式。在简单表示模的情况下,构造了光滑模型的显式单元分解。
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英文标题:
《Smooth models of quiver moduli》
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作者:
Johannes Engel, Markus Reineke
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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:Representation Theory 表象理论
分类描述:Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra
代数和群的线性表示,李理论,结合代数,多重线性代数
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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:
For any moduli space of stable representations of quivers, certain smooth varieties, compactifying projective space fibrations over the moduli space, are constructed. The boundary of this compactification is analyzed. Explicit formulas for the Betti numbers of the smooth models are derived. In the case of moduli of simple representations, explicit cell decompositions of the smooth models are constructed.
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PDF链接:
https://arxiv.org/pdf/0706.4306


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