摘要翻译:
通过引入特殊的McKay颤振,给出了1/R(1,a)型奇异点最小分辨率的一个新的模构造。为了证明我们的构造优于G-Hilbert格式,我们通过建立适当的导出等价性,证明了诱导重言线丛在X上自由地生成相干束的有界导出范畴。本文给出了GL(2)的Abel子群的特殊McKay对应的模构造。
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英文标题:
《The Special McKay correspondence as an equivalence of derived categories》
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作者:
Alastair Craw
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最新提交年份:
2010
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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: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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英文摘要:
We give a new moduli construction of the minimal resolution of the singularity of type 1/r(1,a) by introducing the Special McKay quiver. To demonstrate that our construction trumps that of the G-Hilbert scheme, we show that the induced tautological line bundles freely generate the bounded derived category of coherent sheaves on X by establishing a suitable derived equivalence. This gives a moduli construction of the Special McKay correspondence for abelian subgroups of GL(2).
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PDF链接:
https://arxiv.org/pdf/0704.3627