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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory


Authors: M. J. Hopkins and B. H. Gross
Journal: Bull. Amer. Math. Soc. 30 (1994), 76-86
MSC (2000): Primary 55N22; Secondary 11S31, 14F30, 14L05, 55P42
MathSciNet review: 1217353
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Abstract: The geometry of the Lubin-Tate space of deformations of a formal group is studied via an étale, rigid analytic map from the deformation space to projective space. This leads to a simple description of the equivariant canonical bundle of the deformation space which, in turn, yields a formula for the dualizing complex in stable homotopy theory.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1994-00438-0
PII: S 0273-0979(1994)00438-0
Keywords: Chromatic tower, formal groups, Lubin-Tate space, Morava K-theory
Article copyright: © Copyright 1994 American Mathematical Society