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arXiv 1107.4764math.CTmath.AC
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分次交换诺特环的导出范畴

On the derived category of a graded commutative noetherian ring

Ivo Dell'Ambrogio, Greg Stevenson

摘要:

对于任何分次交换诺特环,其中分次群是交换的,并且交换性在相当一般的意义上是允许的,我们建立了一方面,导出范畴的扭闭局部化子范畴,另一方面,环的素理想的齐次谱的子集之间的包含保持双射。我们提供了一个应用加权射影概形。

英文摘要:

For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijection between, on the one hand, the twist-closed localizing subcategories of the derived category, and, on the other hand, subsets of the homogeneous spectrum of prime ideals of the ring. We provide an application to weighted projective schemes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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