{"paper":{"title":"On the index system of well-rounded lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jacques Martinet","submitted_at":"2012-02-10T16:11:55Z","abstract_excerpt":"Let $\\Lb$ be a lattice in an $n$-dimensional Euclidean space $E$ and let $\\Lb'$ be a Minkowskian sublattice of $\\Lb$, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of $\\Lb$. We consider the set of possible quotients $\\Lb/\\Lb'$ which may exists in a given dimension or among not too large values of the index $[\\Lb:\\Lb']$, indeed $[\\Lb:\\Lb']\\le 4$, or dimension $n\\le 8$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2295","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}