G-levels of perfect complexes

Published 14 Jul 2025 in math.AC | (2507.10486v1)

Abstract: We prove that a commutative noetherian ring R is Gorenstein of Krull dimension at most d if d+1 is an upper bound on the G-level of perfect R-complexes, in which case d+1 is an upper bound on the G-level of all R-complexes with finitely generated homology.

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