Global Wall-Fiber Atlas

Hiroyuki Shioiri

doi:10.5281/zenodo.21015315

June 29, 2026Open Access

Global Wall-Fiber Atlas

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Key Points

This research aims to develop a comprehensive atlas of wall fibers and their associated structures.
Constructed a global projective atlas for all-length wall fibers.
Identified key structures such as the Segre wall and canonical blow-up.
Explored the relationship between the two small resolutions via the Atiyah flop.
Outlined a detailed framework for the global projective atlas of wall fibers.
Confirmed the significance of the identified structures in understanding fiber resolutions.

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Implication

Global project provides insights into wall fibers' structures, indicating their key resolutions and flops.

Abstract

We construct a global projective atlas for all-length wall fibers, identifying the Segre wall, canonical blow-up, and the two small resolutions related by the Atiyah flop.

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Hiroyuki Shioiri (2026) studied this question.

synapsesocial.com/papers/6a435cb3759b888809a530e6 https://doi.org/10.5281/zenodo.21015315

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Global Wall-Fiber Atlas

Key Points

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Implication

Abstract

Discussion

Cite This Study

Global Wall-Fiber Atlas

Key Points

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Implication

Abstract

Discussion

Cite This Study

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