Effective Whitney Stratification of Real Algebraic Varieties
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916928400916480 |
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| author | Helmer, Martin Leykin, Anton Nanda, Vidit |
| author_facet | Helmer, Martin Leykin, Anton Nanda, Vidit |
| contents | We describe new algorithms to compute Whitney stratifications of real algebraic varieties. Using either conormal or polar techniques, these algorithms stratify a complexification of a given real variety. We then show that the resulting stratification can be described by real polynomials. We also extend these methods to stratification problems involving the so-called full semialgebraic sets as well as real algebraic maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05427 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Effective Whitney Stratification of Real Algebraic Varieties Helmer, Martin Leykin, Anton Nanda, Vidit Algebraic Geometry 14P05, 14P10 We describe new algorithms to compute Whitney stratifications of real algebraic varieties. Using either conormal or polar techniques, these algorithms stratify a complexification of a given real variety. We then show that the resulting stratification can be described by real polynomials. We also extend these methods to stratification problems involving the so-called full semialgebraic sets as well as real algebraic maps. |
| title | Effective Whitney Stratification of Real Algebraic Varieties |
| topic | Algebraic Geometry 14P05, 14P10 |
| url | https://arxiv.org/abs/2307.05427 |