Automorphisms of OT manifolds and ray class numbers

2018/07/30 by Oliver Bräunling, Braunling, Oliver, Victor Vuletescu +1 · 1 citation
Mathematics · #32J18 #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1807.11596

openalex publication_date 2018/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the automorphism group of OT manifolds of simple type. We show that the graded pieces under a natural filtration are related to a certain ray class group of the underlying number field. This does not solve the open question whether the geometry of the OT manifold sees the class number directly, but brings us a lot closer to a possible solution.

Cited by

• Several complex structures on the Oeljeklaus-Toma manifolds

Related

• Automorphisms of projective manifolds
• Automorphisms of Hopf manifolds
• Hypersurfaces with large automorphism groups
• Representations of field automorphism groups
• On automorphism groups of smooth hypersurfaces