Spectral Excision and Descent for Almost Perfect Complexes

Published 25 Oct 2022 in math.AG and math.KT | (2210.13679v2)

Abstract: We show that almost perfect complexes of commutative ring spectra satisfy excision and $v$-descent. These results generalize Milnor excision for perfect complexes of ordinary commutative rings and $v$-descent for almost perfect complexes of locally noetherian derived stacks by Halpern-Leistner and Preygel, respectively.

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Chang-Yeon Chough

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