tt-geometry of filtered modules

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.

arXiv comment27 pages; v2: references updated; v3: final accepted version

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