Corner Fiber Filling, Dimension Jump, and the Flattening Blow-Up

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-28
DOI
https://doi.org/10.5281/zenodo.20994372
Primary Topic
Geometric and Algebraic Topology
Type
preprint
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preprint

Corner Fiber Filling, Dimension Jump, and the Flattening Blow-Up

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Geometric and Algebraic Topology
preprint

Corner Fiber Filling, Dimension Jump, and the Flattening Blow-Up

Hiroyuki Shioiri
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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