{"paper":{"title":"Demazure resolutions as varieties of lattices with infinitesimal structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Martin Kreidl","submitted_at":"2009-07-22T14:49:45Z","abstract_excerpt":"Let k be a field of positive characteristic. We construct, for each dominant coweight \\lambda of the standard maximal torus in the special linear group, a closed subvariety D(\\lambda) of the multigraded Hilbert scheme of an affine space over k, such that the k-valued points of D(\\lambda) can be interpreted as lattices in k((z))^n endowed with infinitesimal structure. Moreover, for any \\lambda we construct a universal homeomorphism from D(\\lambda) to a Demazure resolution of the Schubert variety associated with \\lambda in the affine Grassmannian. Lattices in D(\\lambda) have non-trivial infinite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3855","kind":"arxiv","version":2},"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"}