Classification of wormhole singularities
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909950623612928 |
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| author | Negrete, Jaime |
| author_facet | Negrete, Jaime |
| contents | We classify all wormhole singularities, i.e. cyclic quotient surface singularities admitting at least two extremal P-resolutions, thereby solving an open problem posed by Urzúa. Our approach introduces a new combinatorial framework based on what we call the coherent graph of a framed triangulated polygon. As an application, we give an alternative proof of the Hacking-Tevelev-Urzúa theorem on the maximum number of extremal P-resolutions of a cyclic quotient singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08189 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of wormhole singularities Negrete, Jaime Algebraic Geometry Combinatorics Symplectic Geometry We classify all wormhole singularities, i.e. cyclic quotient surface singularities admitting at least two extremal P-resolutions, thereby solving an open problem posed by Urzúa. Our approach introduces a new combinatorial framework based on what we call the coherent graph of a framed triangulated polygon. As an application, we give an alternative proof of the Hacking-Tevelev-Urzúa theorem on the maximum number of extremal P-resolutions of a cyclic quotient singularity. |
| title | Classification of wormhole singularities |
| topic | Algebraic Geometry Combinatorics Symplectic Geometry |
| url | https://arxiv.org/abs/2512.08189 |