{"paper":{"title":"Intersection multiplicity one for classical groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Ivan Dimitrov, Mike Roth","submitted_at":"2017-07-21T10:57:48Z","abstract_excerpt":"In this paper we show that when $\\mathrm{G}$ is a classical semi-simple algebraic group, $\\mathrm{B}\\subset\\mathrm{G}$ a Borel subgroup, and $\\mathrm{X} = \\mathrm{G}/\\mathrm{B}$, then the structure coefficients of the Belkale-Kumar product $\\odot_{0}$ on $\\mathrm{H}^{*}(\\mathrm{X}, \\mathbf{Z})$ are all either $0$ or $1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06840","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"}