2604.01310 The Hodge Conjecture Holds for Codimension-2 Cycles on Abelian Fourfolds with CM by Q(zeta_5)
We establish a new result in algebraic geometry and combinatorics: the hodge conjecture holds for codimension-2 cycles on abelian fourfolds with cm by q(zeta_5). Our proof introduces a novel filtration technique combined with deformation-theoretic arguments that resolve a long-standing open question in the field.