Classifies corner fibers of the Möbius coefficient map, demonstrating implications for model smoothness.
We classify nonzero and zero corner fibers of the all-length Möbius coefficient map. The results include explicit irreducible decompositions, smoothness of all components, an escaping branch at the zero corner, and a one-step finite-slope flatification recovering the semistable rank-one model.
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Hiroyuki Shioiri (2026) studied this question.
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