The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory
Algebraic Topology
2023-12-04 v1 Algebraic Geometry
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 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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Cite
@article{arxiv.math/9401220,
title = {The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory},
author = {Michael J. Hopkins and Benedict H. Gross},
journal= {arXiv preprint arXiv:math/9401220},
year = {2023}
}
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11 pages