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The
homotopy limit problem and the cellular Picard group of
Hermitian $K\mkern-2mu$-theory
Drew Heard |
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Vol. 6 (2021), No. 1, 137–156
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Abstract |
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We use descent theoretic methods to solve the homotopy limit problem for Hermitian -theory over quasicompact and quasiseparated base schemes. As another application of these descent theoretic methods, we compute the cellular Picard group of 2-complete Hermitian -theory over , showing that the only invertible cellular spectra are suspensions of the tensor unit. |
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Keywords
homotopy limit, Hermitian $K\mkern-2mu$-theory, Picard
group, motivic homotopy
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Mathematical Subject Classification
Primary: 14F42
Secondary: 19G38, 55P42
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Milestones
Received: 4 June 2020
Revised: 17 August 2020
Accepted: 17 September 2020
Published: 8 July 2021
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Authors |
| Drew Heard | |
| Department of Mathematical
Sciences Norwegian University of Science and Technology Trondheim Norway |
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