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Bibliographic Details
Main Authors: Levy, Ishan, Li, Guchuan, Zhang, Ningchuan
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.16695
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Table of Contents:
  • We develop tools to study Picard groups of quotients of ring spectra by a finitely generated ideal, which we use to show that $\mathrm{Pic}(\mathrm{E}_n/I) = \mathbb{Z}/2$, where $\mathrm{E}_n$ is a Lubin--Tate theory and $I$ is an ideal generated by suitable powers of a regular sequence. We apply this to obtain spectral sequences computing Picard groups of $\mathrm{K}(n)$-local generalized Moore algebras, and make some preliminary computations including the height $1$ case.