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This paper presents a structural principle for finite S2-objects, showing that coherent S2-sheaves and finitely generated graded S2-modules can be decomposed based on the connected components in codimension 1 of their support. It establishes criteria linking the indecomposability of S2-objects to the connectedness of their supports and extends existing results regarding local rings and their canonical modules. The findings are applied to the non-S2 locus, particularly in the context of codimension 2 lattice

Author

Mohammad Wakeel Hossain Siam

Language

EN