This work addresses the Hodge Conjecture—one of the Clay Mathematics Institute's Millennium Prize Problems—by presenting a rigorous formulation and proposed resolution within the framework of complex
We present a logically strict and complete proof of the classical Hodge Conjecture based on a categorical approach via effective motives, Hodge realization functors, and the universal Hilbert scheme o
This work addresses the Hodge Conjecture—one of the Clay Mathematics Institute's Millennium Prize Problems—by presenting a rigorous formulation and proposed resolution within the framework of complex
