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tt-geometry of filtered modules
Published 2 Aug 2017 in math.CT and math.AC | (1708.00833v3)
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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