{"paper":{"title":"On classifying Minkowskian sublattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.NT","authors_text":"Achill Sch\\\"urmann (with an appendix by Mathieu Dutour Sikiri\\'c), Jacques Martinet, Wolfgang Keller","submitted_at":"2009-04-20T20:19:37Z","abstract_excerpt":"Let $\\Lambda$ be a lattice in an $n$-dimensional Euclidean space $E$ and let $\\Lambda'$ be a Minkowskian sublattice of $\\Lambda$, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of $\\Lambda$. We extend the classification of possible $\\Z/d\\Z$-codes of the quotients $\\Lambda/\\Lambda'$ to dimension~$9$, where $d\\Z$ is the annihilator of $\\Lambda/\\Lambda'$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3110","kind":"arxiv","version":3},"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"}