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The weight and rank filtrations

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arxiv 2110.12264 v1 pith:MFGIKGMR submitted 2021-10-23 math.KT math.AT

classification math.KTmath.AT
keywords conjecturefiltrationsrankweightalgebraicauthorbeilinson-soulcompare
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We compare the weight and stable rank filtrations of algebraic K-theory, and relate the Beilinson-Soul\'e vanishing conjecture to the author's connectivity conjecture.

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Cited by 1 Pith paper

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  1. A stable rank filtration on direct sum $K$-theory

    math.KT 2025-01 conditional novelty 7.0 of 10

    A new stable rank filtration on direct sum K-theory is defined via Gamma-sapces, with filtration quotients described as suspension spectra of decomposition posets.

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