Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: Elliptic curves, Barsotti-Tate groups, and other examples

2021/08/31 by Po Hu, Igor Kříž, Hu, Po +3
Mathematics · #14L05 #55N91 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2109.00032

openalex publication_date 2021/08/31 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28

Abstract

We explicitly construct and investigate a number of examples of ℤ/p^r-equivariant formal group laws and complex-oriented spectra, including those coming from elliptic curves and p-divisible groups, as well as some other related examples.

Related

• A note on the equivariant formal group law of the equivariant complex cobordism ring
• A model for genuine equivariant commutative ring spectra away from the group order
• Complex cobordism with involutions and geometric orientations
• On equivariant topological modular forms
• Models of Lubin-Tate spectra via Real bordism theory