Embedding polynomial systems into vertically parametrised families: A case study on ODEbase
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909445820252160 |
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| author | Daisey, Oliver Ren, Yue Singh, Yuvraj |
| author_facet | Daisey, Oliver Ren, Yue Singh, Yuvraj |
| contents | Vertically parametrised polynomial systems are a particular nice class of parametrised polynomial systems for which a lot of interesting algebraic information is encoded in its combinatorics. Given a fixed polynomial system, we empirically study what constitutes a good vertically parametrised polynomial system that gives rise to it and how to construct said vertically parametrised polynomial system. For data, we use all polynomial systems in ODEbase, which we have transcribed to an OSCAR readable format, and made available as a Julia package OscarODEbase. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_00156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Embedding polynomial systems into vertically parametrised families: A case study on ODEbase Daisey, Oliver Ren, Yue Singh, Yuvraj Algebraic Geometry Vertically parametrised polynomial systems are a particular nice class of parametrised polynomial systems for which a lot of interesting algebraic information is encoded in its combinatorics. Given a fixed polynomial system, we empirically study what constitutes a good vertically parametrised polynomial system that gives rise to it and how to construct said vertically parametrised polynomial system. For data, we use all polynomial systems in ODEbase, which we have transcribed to an OSCAR readable format, and made available as a Julia package OscarODEbase. |
| title | Embedding polynomial systems into vertically parametrised families: A case study on ODEbase |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.00156 |