2025/09/27 by Ray, Rin
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2509.23428
openalex publication_date 2025/09/27 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28
We study the action on the deformation space of a formal group by the maximal finite subgroup G of its automorphisms, at the first height where the group has nontrivial p-torsion for odd p. We show given this group G there is a universal construction of a geometric model of the G-action via inverse Galois theory which generalizes the use of level structure to ramification data. We use configuration spaces to understand the model, and conclude that the Lubin-Tate action at h=p-1 is a subgroup of the symmetric group action on the configuration space of p+1 points on ℙ1.