Godbersen's conjecture for locally anti-blocking bodies
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929666559836160 |
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| author | Sadovsky, Shay |
| author_facet | Sadovsky, Shay |
| contents | In this note we give a short proof of Godbersen's conjecture for the class of locally anti-blocking bodies. We show that all equality cases amongst locally anti-blocking bodies are for simplices, further supporting the conjecture. The proof of equality cases introduces a useful calculation of mixed volumes of aligned simplices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03473 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Godbersen's conjecture for locally anti-blocking bodies Sadovsky, Shay Metric Geometry 52A20, 52A39, 52A40 In this note we give a short proof of Godbersen's conjecture for the class of locally anti-blocking bodies. We show that all equality cases amongst locally anti-blocking bodies are for simplices, further supporting the conjecture. The proof of equality cases introduces a useful calculation of mixed volumes of aligned simplices. |
| title | Godbersen's conjecture for locally anti-blocking bodies |
| topic | Metric Geometry 52A20, 52A39, 52A40 |
| url | https://arxiv.org/abs/2312.03473 |