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Spectral Excision and Descent for Almost Perfect Complexes

2022/10/25 by Chough, Chang-Yeon · 1 citation
#14A30 #18F10 #18N60 #19E08 #55P43 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2210.13679

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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