Convex hulls of surfaces in fourspace
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913866201432064 |
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| author | Meroni, Chiara Ranestad, Kristian Sinn, Rainer |
| author_facet | Meroni, Chiara Ranestad, Kristian Sinn, Rainer |
| contents | This is a case study of the algebraic boundary of convex hulls of varieties. We focus on surfaces in fourspace to showcase new geometric phenomena that neither curves nor hypersurfaces do. Our method is a detailed analysis of a general purpose formula by Ranestad and Sturmfels in the case of smooth real algebraic surfaces of low degree (that are rational over the complex numbers). We study both the complex and the real features of the algebraic boundary of Veronese, Del Pezzo and Bordiga surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01151 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Convex hulls of surfaces in fourspace Meroni, Chiara Ranestad, Kristian Sinn, Rainer Algebraic Geometry Metric Geometry 52A99, 14N05, 14P10, 14P05, This is a case study of the algebraic boundary of convex hulls of varieties. We focus on surfaces in fourspace to showcase new geometric phenomena that neither curves nor hypersurfaces do. Our method is a detailed analysis of a general purpose formula by Ranestad and Sturmfels in the case of smooth real algebraic surfaces of low degree (that are rational over the complex numbers). We study both the complex and the real features of the algebraic boundary of Veronese, Del Pezzo and Bordiga surfaces. |
| title | Convex hulls of surfaces in fourspace |
| topic | Algebraic Geometry Metric Geometry 52A99, 14N05, 14P10, 14P05, |
| url | https://arxiv.org/abs/2209.01151 |