A Counter Example To the Hodge Conjecture

TL;DR

This paper presents a straightforward counterexample to the long-standing Hodge conjecture, challenging a fundamental assumption in algebraic geometry.

Contribution

It provides the first simple counterexample to disprove the Hodge conjecture, which was previously unchallenged.

Findings

Counterexample invalidates the conjecture

Challenges existing beliefs in algebraic geometry

Stimulates new research directions

Abstract

In this paper, we give a simple counter example to the famous Hodge conjecture.