Invertible modules for commutative \(\mathbb S\)-algebras with residue fields

DOI10.1007/s00229-005-0582-1zbMath1092.55007arXivmath/0405525OpenAlexW2140817865MaRDI QIDQ2571058

Birgit Richter, Andrew Baker

Publication date: 2 November 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405525

zbMATH Keywords

invertible modulePicard group of coefficient modulesPicard group of module spectra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items

Residue fields for a class of rational \(\mathbf E_{\infty}\)-rings and applications, The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules, Local duality in algebra and topology, Invertible \(K(2)\)-local \(E\)-modules in \(C_4\)-spectra, Chromatic homotopy theory is asymptotically algebraic, Brauer groups for commutative \(S\)-algebras, The \(Sp_{k,n}\)-local stable homotopy category, Picard groups of higher real -theory spectra at height, Brauer spaces for commutative rings and structured ring spectra, Monoidality of Franke's exotic model, A thick subcategory theorem for modules over certain ring spectra, The homotopy limit problem and the cellular Picard group of Hermitian \(K\)-theory, Monochromatic homotopy theory is asymptotically algebraic, Picard groups and duality for real Morava \(E\)-theories, Realizability of algebraic Galois extensions by strictly commutative ring spectra, Chromatic Picard groups at large primes

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