Bhattacharjee, Deep ; Singha Roy, Sanjeevan & Nandi, Pallab: Hodge–Toric Geometry Beyond CY20

_International Journal of Professional Studies_ 21 (1):271-918. 2026This article develops a higher-dimensional research programme for Calabi–Yau geometry beyond the classical threefold setting and through the explicit CY₂₀ horizon. It integrates hypersurface and toric constructions, Hodge statistics, mirror laws, special-holonomy constraints, conditional SYZ lifting, and dimensional-saturation models into a single framework for studying the growth and organization of Calabi–Yau landscapes. The m