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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.05510 |
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| _version_ | 1866916118342402048 |
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| author | Cobo, Helena Soto, M. J. Tornero, José M. |
| author_facet | Cobo, Helena Soto, M. J. Tornero, José M. |
| contents | We introduce a variation of the well-known Newton-Hironaka polytope for algebroid hypersurfaces. This combinatorial object is a perturbed version of the original one, parametrized by a real number. For well-chosen values of the parameter, the objects obtained are very close to the original, while at the same time presenting more (hopefully interesting) information in a way which does not depend on the choice of parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Blurred combinatorics in resolution of singularities: (a little) beyond the characteristic polytope Cobo, Helena Soto, M. J. Tornero, José M. Algebraic Geometry Combinatorics 14H20, 32S25 We introduce a variation of the well-known Newton-Hironaka polytope for algebroid hypersurfaces. This combinatorial object is a perturbed version of the original one, parametrized by a real number. For well-chosen values of the parameter, the objects obtained are very close to the original, while at the same time presenting more (hopefully interesting) information in a way which does not depend on the choice of parameter. |
| title | Blurred combinatorics in resolution of singularities: (a little) beyond the characteristic polytope |
| topic | Algebraic Geometry Combinatorics 14H20, 32S25 |
| url | https://arxiv.org/abs/2402.05510 |