Norm coherence for descent of level structures on formal deformations
Algebraic Topology
2020-05-04 v1 Algebraic Geometry
Number Theory
Abstract
We give a formulation for descent of level structures on deformations of formal groups, and study the compatibility between the descent and a norm construction. Under this framework, we generalize Ando's construction of H-infinity complex orientations for Morava E-theories associated to Honda formal group laws over F_p. We show the existence and uniqueness of such an orientation for any Morava E-theory associated to a formal group law over an algebraic extension of F_p and, in particular, orientations for a family of elliptic cohomology theories. These orientations correspond to coordinates on deformations of formal groups which are compatible with norm maps along descent.
Cite
@article{arxiv.1706.03445,
title = {Norm coherence for descent of level structures on formal deformations},
author = {Yifei Zhu},
journal= {arXiv preprint arXiv:1706.03445},
year = {2020}
}