摘要翻译:
设A表示仿射线上的微分算子环,其两个通常的生成元t和d/dt分别给定+1度和-1度。设X是在每个整数点上具有粗模空间、仿射线规范k[z]和各向同性群z/2的叠层。然后,分级A-模的类别相当于X上的准相干轮的类别。版本2:根据裁判的建议,更正了错别字,删除了附录。
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英文标题:
《A quotient stack related to the Weyl algebra》
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作者:
S. Paul Smith
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最新提交年份:
2011
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分类信息:
一级分类:Mathematics 数学
二级分类:Rings and Algebras 环与代数
分类描述:Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups
非交换环与代数,非结合代数,泛代数与格论,线性代数,半群
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一级分类:Mathematics 数学
二级分类:Commutative Algebra 交换代数
分类描述:Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环,模,理想,同调代数,计算方面,不变理论,与代数几何和组合学的联系
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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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英文摘要:
Let A denote the ring of differential operators on the affine line with its two usual generators t and d/dt given degrees +1 and -1 respectively. Let X be the stack having coarse moduli space the affine line Spec k[z] and isotropy groups Z/2 at each integer point. Then the category of graded A-modules is equivalent to the category of quasi-coherent sheaves on X. Version 2: corrected typos and deleted appendix at referee's suggestion.
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PDF链接:
https://arxiv.org/pdf/0806.0176