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A
relative Lubin–Tate theorem via higher formal geometry
Aaron Mazel-Gee, Eric Peterson and Nathaniel Stapleton |
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Algebraic & Geometric Topology 15 (2015) 2239–2268
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Abstract |
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We formulate a theory of punctured affine formal schemes, suitable for describing certain phenomena within algebraic topology. As a proof-of-concept we show that the Morava –theoretic localizations of Morava –theory, which arise in transchromatic homotopy theory, corepresent a Lubin–Tate-type moduli problem in this framework. |
Keywords
formal group, deformation, transchromatic homotopy theory,
Lubin–Tate space
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Mathematical Subject Classification 2010
Primary: 14L05
Secondary: 55N22
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References |
Publication
Received: 8 May 2014
Revised: 18 September 2014
Accepted: 20 November 2014
Published: 10 September 2015
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Authors |
| Aaron Mazel-Gee | |
| Department of Mathematics University of California Berkeley 970 Evans Hall #3840 Berkeley, CA 94720-3840 USA |
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| http://math.berkeley.edu/~aaron/ | |
| Eric Peterson | |
| Department of Mathematics University of California Berkeley 970 Evans Hall #3840 Berkeley, CA 94720-3840 USA |
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| http://math.berkeley.edu/~ericp/ | |
| Nathaniel Stapleton | |
| Department of Mathematics Massachusetts Institute of Technology 77 Massachusetts Avenue E18-369 Cambridge, MA 02139-4307 USA |
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| http://math.mit.edu/~nstapleton/ | |
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