THE RIGID ANALYTIC PERIOD MAPPING, LUBIN-TATE SPACE, AND STABLE-HOMOTOPY THEORY

Authors
HOPKINS MJ GROSS BH
Citation
Mj. Hopkins et Bh. Gross, THE RIGID ANALYTIC PERIOD MAPPING, LUBIN-TATE SPACE, AND STABLE-HOMOTOPY THEORY, Bulletin, new series, of the American Mathematical Society, 30(1), 1994, pp. 76-86
Citations number
25
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin, new series, of the American Mathematical Society → ACNP
ISSN journal
02730979
Volume
30
Issue
1
Year of publication
1994
Pages
76 - 86
Database
ISI
SICI code
0273-0979(1994)30:1<76:TRAPML>2.0.ZU;2-R
Abstract
The geometry of the Lubin-Tate space of deformations of a formal group is studied via an etale, rigid analytic map from the deformation spac e to projective space. This leads to a simple description of the equiv ariant canonical bundle of the deformation space which, in turn, yield s a formula for the dualizing complex in stable homotopy theory.