Lattices with exponentially large kissing numbers do exist
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909773089210368 |
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| author | Vlăduţ, Serge |
| author_facet | Vlăduţ, Serge |
| contents | This note corrects the paper \cite{ex}, where lattice sequences having exponentially large kissing numbers were constructed. However it was noted in \cite{dif} that the arguments in that paper are not sufficient. Here we correct the construction which leads to similar results, albeit with much smaller constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07371 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattices with exponentially large kissing numbers do exist Vlăduţ, Serge Number Theory Algebraic Geometry This note corrects the paper \cite{ex}, where lattice sequences having exponentially large kissing numbers were constructed. However it was noted in \cite{dif} that the arguments in that paper are not sufficient. Here we correct the construction which leads to similar results, albeit with much smaller constants. |
| title | Lattices with exponentially large kissing numbers do exist |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2411.07371 |