Norm coherence for descent of level structures on formal deformations

被引:2
作者
Zhu, Yifei [1 ]
机构
[1] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
Deformation of a formal group; Morava E-theory; Complex orientation; Norm coherence; MORAVA E-THEORY; POWER OPERATIONS; FINITE SUBGROUPS; GROUP LAWS; ORIENTATION; COHOMOLOGY; ISOGENIES; SPECTRA;
D O I
10.1016/j.jpaa.2020.106382
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a formulation for descent of level structures on deformations of formal groups and study the compatibility between descent and a norm construction. Under this framework, we generalize Ando's construction of H-infinity complex orientations for Morava E-theories associated to the Honda formal groups over F-p. We show the existence and uniqueness of such an orientation for any Morava E-theory associated to a formal group 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 that are compatible with norm maps along descent. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:35
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