{"slug":"hodge-conjecture","name":"The Hodge Conjecture","blurb":"Whether certain de Rham cohomology classes on projective varieties are algebraic.","kind":"curated","status":"live","definition":{"terms":["hodge conjecture"],"msc":["14C30"],"cats":["math.AG"]},"created_at":"2026-08-11T02:18:14.238165+00:00","updated_at":"2026-08-11T02:18:14.238165+00:00","counts":{"claims_by_tier":{"stated":64},"claims_by_method":{"signals":51,"phrase":13},"papers":64}}