Theoretical study demonstrates methods for computing Picard groups in quotient ring spectra, enabling spectral sequence computations for generalized Moore algebras.
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.
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Levy et al. (2026) studied this question.
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