All-Length Fiber Charts and the Semistable Rank-One Wall

This note gives an all-length fiber atlas for endpoint-compression words. It identifies the rank-one wall as a semistable simple normal-crossing degeneration, determines its dual and contact-order simplices, and classifies the nonnegative wall and corner fibers.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-28
DOI
https://doi.org/10.5281/zenodo.20988813
Primary Topic
Advanced Combinatorial Mathematics
Type
preprint
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preprint

All-Length Fiber Charts and the Semistable Rank-One Wall

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Advanced Combinatorial Mathematics
preprint

All-Length Fiber Charts and the Semistable Rank-One Wall

Hiroyuki Shioiri
preprint en

Abstract

This note gives an all-length fiber atlas for endpoint-compression words. It identifies the rank-one wall as a semistable simple normal-crossing degeneration, determines its dual and contact-order simplices, and classifies the nonnegative wall and corner fibers.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Combinatorial Mathematics
DOIOpen Access PDFOpenAlex
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