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arXiv · 2607.02950

Some terminal orders on 3-folds

Daniel Chan·Colin Ingalls
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Abstract

We produce the first known examples of non-trivial terminal local orders in the 3-dimensional case. We exhibit two different constructions. The first produces maximal orders with given toric ramification data. Since toric terminal ramification data in dimension 3 has been classified this produces toric examples. The second construction yields maximal orders ramified on surfaces with Kleinian singularities. These are automatically terminal.

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Daniel Chan, Colin Ingalls. 2026-07-03. Some terminal orders on 3-folds. https://arxiv.org/abs/2607.02950

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