{"paper":{"title":"Group representations and the Euler characteristic of elliptically fibered Calabi-Yau threefolds","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Antonella Grassi, David R. Morrison","submitted_at":"2000-05-19T20:28:52Z","abstract_excerpt":"To every elliptic Calabi-Yau threefold with a section $X$ there can be associated a Lie group $G$ and a representation $\\rho$ of that group. The group is determined from the Weierstrass model, which has singularities that are generically rational double points; these double points lead to local factors of $G$ which are either the corresponding A-D-E groups or some associated non-simply laced groups.\n  The representation $\\rho$ is a sum of representations coming from the local factors of $G$, and of other representations which can be associated to the points at which the singularities are worse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0005196","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"}