Spectral Excision and Descent for Almost Perfect Complexes

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.

11 pages, comments welcome; generalized the main results of the initial version to almost perfect complexes