TL;DR
This paper provides a counterexample to the long-standing Hodge conjecture, challenging a fundamental assumption in algebraic geometry.
Contribution
It introduces a specific counterexample that disproves the Hodge conjecture, offering new insights into its limitations.
Findings
Counterexample disproves the Hodge conjecture
Challenges existing assumptions in algebraic geometry
Implications for future research in the field
Abstract
The paper presents a counterexample to the Hodge conjecture.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Advanced Algebra and Geometry