Bases of minimal vectors in tame lattices
| Autor: | Guillermo Mantilla-Soler, Mohamed Taoufiq Damir |
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| Rok vydání: | 2020 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2006.16794 |
| Popis: | Motivated by the behavior of the trace pairing over tame cyclic number fields, we introduce the notion of tame lattices. Given an arbitrary non-trivial lattice $\mathcal{L}$ we construct a parametric family of full-rank sub-lattices $\{\mathcal{L}_{\alpha}\}$ of $\mathcal{L}$ such that whenever $\mathcal{L}$ is tame each $\mathcal{L}_{\alpha}$ has a basis of minimal vectors. Furthermore, for each $\mathcal{L}_{\alpha}$ in the family a basis of minimal vectors is explicitly constructed. |
| Databáze: | OpenAIRE |
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