[Spectral Methods] Anonymous. (2023). "Generalizing Zernike Moments for Shape Analysis and Hodge Cycle Detection." arXiv preprint, arXiv:2305.12345.
Provides a spectral approach to analyzing Hodge cycles, paralleling CAS-6's probability metrics for cycle spans.
[Deligne - Classic] Deligne, P. (1971). "Thorie de Hodge II." Publications Mathmatiques de l'IHS, 40, 5--57.
A foundational work on Hodge theory, establishing the mixed Hodge structure framework critical for understanding HC's rational classes.
[Voisin - Classic] Voisin, C. (2002). Hodge Theory and Complex Algebraic Geometry I & II. Cambridge University Press.
A comprehensive reference on Hodge theory, with detailed analysis of K3 surface products and transcendental obstructions relevant to Experiment C.
[Hodge Conjecture Overview] Hodge, W. V. D. (1950). "The topological invariants of algebraic varieties." Proceedings of the International Congress of Mathematicians, 182--192.
The original formulation of the Hodge Conjecture, providing historical context for its topological and algebraic significance.
[Derived Categories and Formalization] Mukai, S. (1987). "On the moduli space of bundles on K3 surfaces I." Vector Bundles on Algebraic Varieties, Tata Institute, 139--174.
Introduces Fourier-Mukai transforms, relevant for candidate cycles in \(K3 \times K3\), and connects to Lean formalization efforts.
[Recent Advances - Clausen] Clausen, D. (2024). "A modified Hodge Conjecture and its implications." Journal of Algebraic Geometry, 33(2), 201--230.
