Stratification of Projection Maps From Toric Varieties
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916361015394304 |
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| author | Hilany, Boulos El Helmer, Martin Tsigaridas, Elias |
| author_facet | Hilany, Boulos El Helmer, Martin Tsigaridas, Elias |
| contents | We prove a combinatorial version of Thom's Isotopy Lemma for projection maps applied to any complex or real toric variety. Our results are constructive and give rise to a method for associating the Whitney strata of the projection to the faces of the polytope of the corresponding toric variety. For all examples we produced, our resulting algorithm outperforms known general purpose methods in Helmer and Nanda (FoCM, 2022), and Dinh and Jelonek (DCG, 2021) for computing map-stratifications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08991 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stratification of Projection Maps From Toric Varieties Hilany, Boulos El Helmer, Martin Tsigaridas, Elias Algebraic Geometry 14M25, 14R25, 14Q30, 14B05, 57R22 We prove a combinatorial version of Thom's Isotopy Lemma for projection maps applied to any complex or real toric variety. Our results are constructive and give rise to a method for associating the Whitney strata of the projection to the faces of the polytope of the corresponding toric variety. For all examples we produced, our resulting algorithm outperforms known general purpose methods in Helmer and Nanda (FoCM, 2022), and Dinh and Jelonek (DCG, 2021) for computing map-stratifications. |
| title | Stratification of Projection Maps From Toric Varieties |
| topic | Algebraic Geometry 14M25, 14R25, 14Q30, 14B05, 57R22 |
| url | https://arxiv.org/abs/2408.08991 |