S2-objects decompose canonically by codimension-1 connectedness of supports, yielding decompositions of canonical modules and S2-ifications plus criteria for non-S2 loci in equidimensional unmixed rings.
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Connectedness in Codimension One and the Non-$S_2$ Locus
S2-objects decompose canonically by codimension-1 connectedness of supports, yielding decompositions of canonical modules and S2-ifications plus criteria for non-S2 loci in equidimensional unmixed rings.