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arXiv 1708.00833math.CTmath.AC
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滤模的tt-几何

tt-geometry of filtered modules

Martin Gallauer

摘要:

计算了交换环上滤子模的完全复形的张量三角谱,并导出了厚张量理想的分类。我们给出两个证明:一个是通过将分次模的完全复形化约,这在文献中已经有过研究,另一个是更直接的,为此我们开发了一些有用的工具。

英文摘要:

We compute the tensor triangular spectrum of perfect complexes of filtered modules over a commutative ring, and deduce a classification of the thick tensor ideals. We give two proofs: one by reducing to perfect complexes of graded modules which have already been studied in the literature, and one more direct for which we develop some useful tools.

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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