Theoretical analysis reveals a resolution of the Hodge conjecture across complex structures, suggesting higher-dimensional cycles map directly to three-dimensional frames.
This paper presents a definitive resolution of the Hodge conjecture by redefining higherdimensional complex structuresas discrete sequential frames of a pure three-dimensional vessel. By utilizing a universal degree-3 shape-preservingscanning matrix, this framework preserves the inherent curvature of algebraic cycles and maps four-dimensional densitydata onto smooth, non-vanishing three-dimensional configurations without inducing unnatural spatial geometricdeformations.
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河盛 et al. (2026) studied this question.
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