Picard groups of quotient ring spectra

Abstract

Abstract We develop tools to study Picard groups of quotients of ring spectra by a finitely generated ideal, which we use to show that , where is a Lubin–Tate theory and is an ideal generated by suitable powers of a regular sequence. We apply this to obtain spectral sequences computing Picard groups of ‐local generalized Moore algebras, and make some preliminary computations including the height 1 case.