A short proof for the parameter continuation theorem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909258218471424 |
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| author | Borovik, Viktoriia Breiding, Paul |
| author_facet | Borovik, Viktoriia Breiding, Paul |
| contents | The Parameter Continuation Theorem is the theoretical foundation for polynomial homotopy continuation, which is one of the main tools in computational algebraic geometry. In this note, we give a short proof using Gröbner bases. Our approach gives a method for computing discriminants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14697 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A short proof for the parameter continuation theorem Borovik, Viktoriia Breiding, Paul Algebraic Geometry Numerical Analysis 14Q65, 65H14 The Parameter Continuation Theorem is the theoretical foundation for polynomial homotopy continuation, which is one of the main tools in computational algebraic geometry. In this note, we give a short proof using Gröbner bases. Our approach gives a method for computing discriminants. |
| title | A short proof for the parameter continuation theorem |
| topic | Algebraic Geometry Numerical Analysis 14Q65, 65H14 |
| url | https://arxiv.org/abs/2302.14697 |