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arXiv · 1708.00833

tt-geometry of filtered modules

Martin Gallauer
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Abstract

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.

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Martin Gallauer. 2019-09-10. tt-geometry of filtered modules. https://doi.org/10.2140/ant.2018.12.1975

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