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arXiv · 1807.11596

Automorphisms of OT manifolds and ray class numbers

Oliver Braunling·Victor Vuletescu
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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.

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Oliver Braunling, Victor Vuletescu. 2018-07-30. Automorphisms of OT manifolds and ray class numbers. https://arxiv.org/abs/1807.11596

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